Take it off, and see what's really left
Cut a number by a percentage, measure the drop between two values, work backwards to the original price, stack two discounts, or run depreciation across the years.
Decrease by %.
A value fell from to .
The sale price is after % off.
Take , apply % off then a further % off.
An asset worth loses % a year for years.
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Discount & reduction tools
Four reductions people actually need to price, each colour-coded and showing its working.
🏷️Discount & savings
What you pay and what you keep
📉Depreciation
Book value after N years of decline
💸Budget cut
A percentage off a recurring amount
🔄Recovery needed
The rise required to get back to par
Decrease formulas
Six lines cover everything on this page.
Decrease a value
new = old × (1 − P ÷ 100)240 down 15% → 240 × 0.85 = 204
Percentage decrease
P = (old − new) ÷ old × 100240 → 204 → 36 ÷ 240 × 100 = 15%
Original before the discount
old = sale ÷ (1 − P ÷ 100)204 after 15% off → 204 ÷ 0.85 = 240
Two discounts stacked
total off = (1 − (1−D₁)(1−D₂)) × 10030% then 20% → 44% off, not 50%
Depreciation
value = start × (1 − P ÷ 100)ⁿ24,000 at 18% for 6 → 7,296.16
Recovering the drop
rise = D ÷ (100 − D) × 100A 35% fall needs a 53.85% rise
What each discount does to 100
| Off | Multiplier | You pay | Rise needed to recover |
|---|---|---|---|
| 5% | × 0.95 | 95 | 5.26% |
| 10% | × 0.90 | 90 | 11.11% |
| 15% | × 0.85 | 85 | 17.65% |
| 20% | × 0.80 | 80 | 25% |
| 25% | × 0.75 | 75 | 33.33% |
| 33.33% | × 0.6667 | 66.67 | 50% |
| 50% | × 0.50 | 50 | 100% |
| 60% | × 0.40 | 40 | 150% |
| 75% | × 0.25 | 25 | 300% |
| 90% | × 0.10 | 10 | 900% |
Common questions
How do you calculate a percentage decrease?
(240 − 204) ÷ 240 × 100 = 15%. Dividing by the new value is the usual mistake and gives an inflated answer.Is 30% off then 20% off the same as 50% off?
0.70 × 0.80 = 0.56 — that's 56% of the original, meaning 44% off, not 50%. The gap widens with bigger discounts: 50% then 50% is 75% off, not 100%. The "Stacked discounts" tab shows both steps.How do I work out the original price from a sale price?
204 ÷ 0.85 = £240. Adding 15% to 204 would give 234.60, which is wrong, because the 15% was calculated from the bigger number.Why does recovering from a drop take a bigger percentage?
D ÷ (100 − D) × 100. The Recovery tool works it out for any drop.Can something decrease by more than 100%?
How much does a discount really cost my margin?
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