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Multiplying by which number is equivalent to a decrease of 8.2%?

User Wheat
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2 Answers

5 votes

Final answer:

Multiplying by 0.918 is equivalent to a decrease of 8.2%, since 100% - 8.2% equals 91.8%, and 91.8% as a decimal is 0.918.

Step-by-step explanation:

When dealing with a decrease of 8.2%, we are essentially looking for a factor that, when multiplied by a number, will give us the result that is 8.2% less than the original number. To find this, we need to subtract the percentage decrease from 100% to see what we are left with. In this case, 100% - 8.2% = 91.8%. This percentage then needs to be converted into a decimal to be used as a multiplication factor. To convert a percentage to a decimal, divide it by 100. This gives us 0.918. When you multiply a number by 0.918, you are effectively reducing the original number by 8.2%, which means that multiplying by 0.918 is equivalent to a decrease of 8.2%.

User Viswanath Polaki
by
4.3k points
9 votes
1 - 0.082 = 0.918
Multiply by 0.918
User Damon Drake
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4.2k points