What the direct labor variance separates
The total direct labor variance is a single number: actual labor cost minus the labor cost your output should have carried. On its own it is almost useless as a management report, because two completely different people control the two things that can push it around. Payroll and hiring decide what you pay per hour. The production floor decides how many hours a unit takes.
Standard costing splits the total into exactly those two pieces. The labor rate variance isolates the price of an hour; the labor efficiency variance isolates the number of hours consumed. Once split, each piece has a named owner and an actionable cause, and the pair of them always adds back to the total with nothing left over.
The sign convention is the one used throughout standard costing: actual minus standard. A positive variance means you spent more than the standard allowed, so positive is unfavorable and negative is favorable. Textbooks and exam answers quote the magnitude followed by a letter — “$7,350 U” — and this calculator gives you both the signed figure and the label.
The two formulas, and why the standard rate appears in both
The rate variance takes the gap between the actual and the standard hourly rate and multiplies it by every hour you actually paid for: LRV = (AR − SR) × AH. Actual hours are the correct multiplier because the wage overpayment applied to all of them, including the inefficient ones.
The efficiency variance takes the gap between the hours you used and the hours the output earned, valued at the standard rate: LEV = (AH − SH) × SR. Using the standard rate here is deliberate. If you valued the extra hours at the actual rate you would be charging the supervisor for a wage decision they did not make, and the two variances would double-count the overlap between the rate gap and the hours gap.
Everything hinges on SH, the standard hours allowed, and this is where most people go wrong. SH = standard hours per unit × the units you actually produced — not budgeted output, not units started, not units sold. You judge the floor against the output it actually delivered, so a volume shortfall never contaminates the efficiency variance.
The clean way to see the structure is the three-column layout the calculator prints:
- (1) AH × AR — what you actually spent.
- (2) AH × SR — the hybrid column: your hours, standard price.
- (3) SH × SR — what the output should have cost.
The rate variance is (1) − (2), the efficiency variance is (2) − (3), and the total is (1) − (3). Column (2) is the bridge that makes the split possible, which is why one variance uses actual hours and the other uses the standard rate.
Worked example: 4,900 hours at $21.50 against a $20.00 standard
A plant makes 2,000 units in March. The standard cost card allows 2.5 direct labor hours per unit at $20.00 per hour. The payroll register shows 4,900 hours at an average of $21.50 per hour — a mid-month wage adjustment landed, and the crew beat the routing.
- Standard hours allowed. 2.5 h/unit × 2,000 units = 5,000 h.
- Column (1), actual cost. 4,900 h × $21.50 = $105,350.
- Column (2), actual hours at standard rate. 4,900 h × $20.00 = $98,000.
- Column (3), standard cost of output. 5,000 h × $20.00 = $100,000.
- Rate variance. ($21.50 − $20.00) × 4,900 h = $1.50 × 4,900 = $7,350 unfavorable. Same as (1) − (2) = $105,350 − $98,000.
- Efficiency variance. (4,900 h − 5,000 h) × $20.00 = −100 × $20.00 = $2,000 favorable. Same as (2) − (3) = $98,000 − $100,000.
- Total. $7,350 U + $2,000 F = $5,350 unfavorable, which equals (1) − (3) = $105,350 − $100,000.
- Scale it. $5,350 ÷ $100,000 = 5.35% of standard labor cost.
The story the split tells: the crew was genuinely 100 hours more productive than the routing allowed, worth $2,000, but the wage increase cost $7,350, so the month came in 5.35% over standard. The productivity gain covered $2,000 of the $7,350 wage cost — a little over a quarter of it. Note also that valuing those 100 hours at the $21.50 actually paid rather than the $20.00 standard would have overstated the crew's contribution by $150.
How to read the result: ownership, causes and size
Assign each variance to whoever controls it before you interpret it. The rate variance usually belongs to human resources, the union agreement or the scheduler who authorised overtime — rarely to the production supervisor. The efficiency variance belongs to the floor, but only if the inputs it depends on were sound: bad material, an untrained crew, a machine breakdown or a rush changeover all show up as labor inefficiency while being nobody on the line's fault.
Read the two together, because they interact constantly:
- Favorable rate with unfavorable efficiency is the classic result of staffing a job with cheaper, less experienced people. If the efficiency loss exceeds the wage saving, the substitution destroyed value even though one variance looked good.
- Unfavorable rate with favorable efficiency usually means overtime or a senior crew. Overtime premium inflates the rate while the experienced hands beat the routing.
- Both unfavorable points at a stale standard as often as at bad performance. Standards set before the last wage settlement or the last process change describe a factory that no longer exists.
On size, a common desk rule is to investigate a total variance past roughly 5% of standard labor cost, or past a dollar floor that matters to the plant — the same two-part materiality test used in ordinary budget vs actual variance analysis. Treat 5% as a starting convention and then calibrate it to your own process rather than to a published figure, because the width that means trouble depends entirely on how tightly the process is controlled. A machine-paced line running one product should hold a much tighter band than a job shop whose product mix changes every week; set your threshold from your own last twelve months of variances and hold it constant.
One structural point: because wage rates are usually contractual and known in advance, the rate variance in a stable plant should be small. If it dominates your total month after month, your standard rate is out of date and needs resetting, not explaining.
The four combinations, worked out
| Case | (1) AH × AR | (2) AH × SR | (3) SH × SR | Rate variance | Efficiency variance | Total |
|---|---|---|---|---|---|---|
| 4,900 h at $21.50 | $105,350 | $98,000 | $100,000 | $7,350 U | $2,000 F | $5,350 U |
| 4,900 h at $19.00 | $93,100 | $98,000 | $100,000 | $4,900 F | $2,000 F | $6,900 F |
| 5,400 h at $19.00 | $102,600 | $108,000 | $100,000 | $5,400 F | $8,000 U | $2,600 U |
| 5,400 h at $21.50 | $116,100 | $108,000 | $100,000 | $8,100 U | $8,000 U | $16,100 U |
Row three is the trap: the cheaper crew produced a $5,400 favorable rate variance and still cost the plant $2,600, because the hours overrun was worth more than the wage saving.
Mistakes that corrupt a labor variance
- Using budgeted output instead of actual output for standard hours. The most common error of all. It drags the volume shortfall into the efficiency variance and makes the floor answer for a sales miss.
- Valuing the efficiency variance at the actual rate. The two variances then overlap, no longer add to the total, and the supervisor is charged for a wage decision.
- Mixing labor grades into one average. A blended actual rate across two pay grades hides a mix variance inside the rate variance. Compute grades separately where rates differ materially.
- Burying idle time in the efficiency variance. Downtime, waiting on material and rework are not routing inefficiency. Charge them separately so the efficiency variance measures pace, not availability.
- Ignoring how overtime premium is coded. If premium sits in the direct labor rate, every busy month produces an unfavorable rate variance. Most systems charge premium to overhead instead.
- Counting hours and output over different periods. A weekly timesheet cut-off against a monthly production report guarantees a fictitious efficiency variance that reverses next period.
- Leaving standards unrevised. A standard predating the current wage agreement turns every variance into a measurement of how old the standard is.
Standard costs and the accounting rules
US GAAP permits standard costs for inventory measurement provided they reasonably approximate cost under a normal-capacity assumption, which is why material variances cannot simply be dumped into cost of goods sold: at period end they are allocated between inventory and cost of sales. IFRS takes the same position in IAS 2, allowing standard cost when the result approximates cost and the standards are reviewed regularly. Abnormal wasted labor is excluded from inventory cost under both frameworks and expensed as incurred. Once your labor variances are large enough to matter, their treatment at close is an audit issue, not a reporting preference.
Where this sits among the other variances
The labor split is one quarter of a full standard-cost analysis. The same three-column structure applies to materials, where price replaces rate and quantity replaces hours — see the direct material price and quantity variance calculator. On the revenue side the equivalent decomposition is price against volume, handled by the sales price and volume variance calculator. Overhead needs a third structure, because part of it is fixed: variable overhead splits into spending and efficiency variances driven by the same labor-hour base, which is why your predetermined overhead rate and your labor efficiency variance move together.
Direct labor is also part of your variable cost per unit, so it feeds straight into the contribution margin calculator and therefore into the break-even point calculator: a permanent 5% labor overrun raises break-even volume, which is usually the more persuasive way to present it to operations. Labor lands in inventory too, so an unrevised standard eventually distorts the cost of goods sold calculation.
Keep in mind what a labor variance cannot see. It measures cost against a standard, not value: a crew that beats the routing by cutting a quality step generates a favorable efficiency variance and an unfavorable scrap or warranty cost somewhere else. Review it next to the scrap report, never on its own.
Key terms
- Standard hours allowed
- Standard hours per unit multiplied by actual good output. The flexible-budget benchmark the floor is measured against.
- Labor rate variance
- The wage-rate gap times actual hours. Also called the labor price variance. Owned by whoever sets pay and authorises overtime.
- Labor efficiency variance
- The hours gap valued at the standard rate. Also called the labor usage or quantity variance.
- Standard cost card
- The document listing the standard quantity and standard price of each input for one unit of product.
- Idle time
- Paid hours during which no production occurs. Best charged separately rather than left inside the efficiency variance.