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Translate the percent sentence to a proportion. Write the percent as a ratio out of 100.

What number is 85% of 112?

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To find what number is 85% of 112, we can break down the problem into a few clear steps:

Step 1: Understand the meaning of 85%
- The term "85%" means 85 out of every 100 parts.

Step 2: Translate the percentage into a proportion
- To do this, we can write 85% as a fraction out of 100. Thus, 85% becomes 85/100.

Step 3: Convert the fraction into a decimal
- Divide 85 by 100 to get the decimal form. 85/100 equals 0.85.

Step 4: Multiply the decimal form by the number
- Now, we need to find 85% of 112. We do this by multiplying the decimal 0.85 by 112.
[tex]\[ 0.85 \times 112 = 95.2 \][/tex]

Step 5: Interpret the result
- Therefore, 85% of 112 is 95.2.

So, when asked what number is 85% of 112, the answer is 95.2.
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