Math · Percentages

Percentage Decrease Calculator
Formula + 12 Real Examples

Calculate percentage decrease instantly. Formula: ((Old−New)÷Old)×100. With 12 examples for price drops, salary cuts and discounts. Free online tool.

⚡ RESPUESTA RÁPIDA

Percentage decrease formula: % = ((Old Value − New Value) ÷ Old Value) × 100. Example: price drops from $100 to $75 → ((100−75)÷100)×100 = 25% decrease.

Step-by-Step Method

Subtract: Old − New$100 − $75 = $25 (the decrease amount).
Divide by the Old (original) value$25 ÷ $100 = 0.25
Multiply by 1000.25 × 100 = 25% decrease.

12 Real Examples

$100→$75
−25%
$200→$150
−25%
$50→$40
−20%
$1,200→$900
−25%
$500→$350
−30%
$80→$64
−20%
100→85 students
−15%
$9→$7.65
−15%
$45→$36
−20%
$600→$420
−30%
$14k→$11.9k
−15%
$250→$175
−30%

Percentage Decrease vs Discount

Percentage decrease

General term for any reduction. Stock fell from $100 to $60 = 40% decrease.

Discount

Specifically for price reductions at stores. Same math, different context.

Preguntas Frecuentes

Is percentage decrease the same as percentage change?

Yes, percentage decrease is a specific case of percentage change where the result is negative. The formula is identical; a negative result means decrease.

Can I just subtract the percentages for consecutive decreases?

No. Two 20% decreases give 36% total decrease, not 40%. (1−0.20)×(1−0.20)=0.64, so 36% decrease.

For increases see percentage increase calculator.

When to Use Percentage Decrease vs Other Formulas

Use Percentage Decrease

When you know both values and want to know HOW MUCH it dropped as a percent. Price went from $100 to $75: 25% decrease.

Use Discount Formula

When you know the original price and the discount percent and want the final price. $100 with 25% off: $75.

Use Percentage Change

When you don't know the direction. Same formula, negative result = decrease.

20 More Practice Problems

$120→$90
−25%
$80→$60
−25%
$500→$400
−20%
100→75
−25%
$1000→$700
−30%
$45→$36
−20%
$200→$180
−10%
$360→$270
−25%
50→40
−20%
$900→$630
−30%
$24→$18
−25%
$1200→$840
−30%

Preguntas Frecuentes

Is a percentage decrease the same as a discount?

They use the same math but mean different things. A discount is a percentage decrease applied to a price. A decrease can apply to anything — population, temperature, speed.

What is the maximum possible percentage decrease?

100%. If something drops to $0 from any amount, that is a 100% decrease. You cannot have more than 100% decrease of a quantity.

How do I reverse a percentage decrease?

Use the inverse: New Price ÷ (1 − %/100). If you paid $75 after a 25% decrease: $75 ÷ 0.75 = $100 original price.

Percentage Decrease — Formula and Examples

% Decrease = (Old − New) / Old × 100 Example: Price dropped from $200 to $150 % Decrease = (200 − 150) / 200 × 100 = 25%
1
The formula — always positive% Decrease = (Old Value − New Value) / Old Value × 100. Always subtract NEW from OLD (not the other way). Result is always positive for a decrease.
2
Find the new value after decreaseNew = Old × (1 − %/100). 20% decrease from $500: $500×0.80=$400.
3
Find the original priceIf you know the new price and the % decrease: Original = New ÷ (1 − %/100). Paid $400 after 20% decrease: $400÷0.80=$500.
4
Consecutive decreases don't add up20% then 15% decrease ≠ 35% total. $100×0.80×0.85=$68. Real decrease = 32%, not 35%.
$200→$150
25%↓
$100→$80
20%↓
$500→$400
20%↓
$80→$60
25%↓
$1,000→$700
30%↓
$45→$36
20%↓
$200→$180
10%↓
$360→$270
25%↓
50→40
20%↓
$900→$630
30%↓
$24→$18
25%↓
$1,200→$840
30%↓
After 25%↓, $75. Original
$100
After 20%↓, $80. Original
$100
After 30%↓, $140. Original
$200
20%↓ then 10%↓
28% total↓
When to use percentage decrease

Price drops, salary cuts, weight loss, population decline, stock market drops. Any situation where a value goes DOWN.

Common mistake — dividing by new value

Always divide by the OLD value. Dividing by new gives a different (wrong) percentage.

Preguntas Frecuentes

Can percentage decrease be more than 100%?

No. A 100% decrease means the value dropped to zero. You cannot lose more than everything.

What is the difference between percentage decrease and percentage points?

A rate dropping from 8% to 6% is a decrease of 2 percentage points, but a percentage decrease of 25%. They are different concepts.

How do I reverse a percentage decrease?

Original = New Value ÷ (1 − %/100). If you paid $75 after a 25% decrease: $75 ÷ 0.75 = $100 original.

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