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Intermediate

Lesson 7: Finding the Original Value

Work backwards from a percentage to find the original number.

📚 Finding the Original Value

Sometimes you know the result after a percentage change and need to find the original value.

Original = Result ÷ (Percentage ÷ 100)

Example: 30 is 25% of what number?

1
Convert percentage to decimal: 25 ÷ 100 = 0.25
2
Divide the result by the decimal: 30 ÷ 0.25 = 120

Real-world Example:

After a 20% discount, a shirt costs $40. What was the original price?

$40 is 80% of the original (100% - 20% = 80%)

Original = $40 ÷ 0.80 = $50

🎯 Try It Yourself

Try It Yourself

60 is 40% of what number?

Convert 40% to 0.40, then divide 60 by 0.40

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