REVERSE PERCENTAGE
Find the original price or value before a percentage increase, percentage decrease or when a value is a given percent of the original
Worked answer on Page 1 • extra help, search-friendly examples and related links on Pages 2–4 • NO SCROLL
KNOWN VALUE
VALUE
The amount you already have after the percentage change.
PERCENT
%
Enter 20 for 20%, or 12.5 for 12.5%.
TYPE
INC
Choose what the known value represents.
ROUNDING
2DP
Only the displayed answer is rounded.
WORKING
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ORIGINAL
READY
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CURRENT SUMMARY
Reverse percentage calculator for finding the original value before a percentage change.
72 after +20% = 60.00
Use original = known ÷ multiplier.
PAGE 1/4
KNOWN VALUE
VALUE
The amount you already have after the percentage change.
PERCENT
%
Enter 20 for 20%, or 12.5 for 12.5%.
TYPE
INC
Choose what the known value represents.
ROUNDING
2DP
Only the displayed answer is rounded.
WORKING
—
—
—
—
—
ORIGINAL
READY
—
CURRENT SUMMARY
Reverse percentage calculator for finding the original value before a percentage change.
72 after +20% = 60.00
Use original = known ÷ multiplier.
PAGE 1/4
REVERSE PERCENTAGE METHOD
A known final value equals original × multiplier.
To reverse the change, divide by the multiplier.
original = known ÷ multiplier
MULTIPLIERS
Increase: 1 + p/100
Decrease: 1 − p/100
p% of original: p/100
WORKED EXAMPLES
72 after +20% ⇒ 72 ÷ 1.2 = 60
45 after −10% ⇒ 45 ÷ 0.9 = 50
18 is 30% ⇒ 18 ÷ 0.3 = 60
COMMON USES
Find the original price before VAT or discount.
Check sale prices and percentage change questions.
Solve exam reverse percentage problems quickly.
QUICK CHECK
You can verify the answer by multiplying the original value by the multiplier.
60 × 1.2 = 72
That should return the known value.
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SEARCH TOPICS
reverse percentage calculator
find original price before discount
original value before percentage increase
reverse percentage formula
MORE SEARCHES
original amount before VAT
price before 20 percent increase
price before 10 percent decrease
what number is 30 percent of original
WHO THIS HELPS
Students learning reverse percentages.
Shoppers checking original prices and sale prices.
Anyone undoing a percentage rise or fall.
REAL EXAMPLES
A coat costs 84 after +5%
A phone costs 180 after −25%
A fee of 24 is 15% of original
PAGE 3 NOTE
Reverse percentage uses division, not subtraction from the final number.
Wrong: 72 − 20% Right: 72 ÷ 1.2
Always divide by the correct multiplier.
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RELATED HELP
Use this page for reverse percentages and original values.
Use percentage increase or decrease pages for forward changes.
Use decimal and ratio pages for linked maths skills.
FAST TIPS
After +20% means divide by 1.2.
After −10% means divide by 0.9.
30% of original means divide by 0.3.
RELATED PAGES
VISIBLE PAGE HELP
Page 1 = calculator and answer
Page 2 = method and worked examples
Page 3 = search-style examples and use cases
Page 4 = related pages and quick reminders
QUICK REMINDER
Reverse percentage finds the amount before the percentage change happened.
original = known ÷ multiplier
This page keeps the full working visible without scrolling.
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