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Solution for 'What is 85% of 110?'
In the following example consider that:
- The percentage figure is represented by X%
- The whole amount is represented by W
- The portion amount or part is represented by P
Solution Steps
The following question is of the type "How much X percent of W", where W is the whole amount and X is the percentage figure or rate".
Let's say that you need to find 85 percent of 110. What are the steps?
Step 1: first determine the value of the whole amount. We assume that the whole amount is 110.
Step 2: determine the percentage, which is 85.
Step 3: Convert the percentage 85% to its decimal form by dividing 85 into 100 to get the decimal number 0.85:
85100 = 0.85
Notice that dividing into 100 is the same as moving the decimal point two places to the left.
85.0 → 8.50 → 0.85
Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:
0.85 x 110 = 93.5 (answer).
The steps above are expressed by the formula:
P = W × X%100
This formula says that:
"To find the portion or the part from the whole amount, multiply the whole by the percentage, then divide the result by 100".
The symbol % means the percentage expressed in a fraction or multiple of one hundred.
Replacing these values in the formula, we get:
P = 110 × 85100 = 110 × 0.85 = 93.5 (answer)
Therefore, the answer is 93.5 is 85 percent of 110.