Teach Genie
Teach it back in your own words, spot gaps, and remember it better.

Reverse percentages ask you to find the amount before a percentage change. First identify the original amount, the final amount, and whether the change was an increase or a decrease.
The forward rule is:
F=O×m F = O \times m F=O×mwhere mmm is the multiplier. To work backwards, use the inverse formula:
O=Fm O = \frac{F}{m} O=mFFor an increase, the multiplier is more than 111, like 1.101.101.10 for a 10%10\%10% increase. For a decrease, the multiplier is less than 111, like 0.800.800.80 for a 20%20\%20% decrease.
Question 1
2 marksThe value of a house increased by 6%.
The house then had a value of £265 000
In reverse percentages, the percentage change is based on which amount?
Revision notes for CCEA GCSE Maths Reverse Percentages: explanations and worked examples.
1 of 5
After a 25% reduction, a pair of trainers costs £36. What was the original price?