📚 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
📝 Final Quiz
0 / 3
Test what you learned. Pick the correct answer for each question.
1. After a 20% discount, an item costs $80. Original price?
Explanation:
$80 ÷ 0.80 = $100.
2. Total with 8% tax is $108. Pre-tax amount?
Explanation:
$108 ÷ 1.08 = $100.
3. After a 15% increase, the value is $230. Original?
Explanation:
$230 ÷ 1.15 = $200.
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