# The number increased by 60%. by how much% should the resulting number be reduced to get this number?

September 27, 2021 | education

| 1. Let the given number be X. Then, initially X was 100%, when it was increased by 60%, it began to be 160%, so the resulting number is equal to X * 160: 100 = 1.6X.

2. Now, the resulting number 1.6X has become 100%, you need to calculate how many percent is the original number X. The solution to this proportion is X * 100: 1.6X = 100: 1.6 = 62.5%.

3. So the resulting number needs to be reduced by 100 – 62.5 = 37.5% to get the original number.

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