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Solution for 'What is 117% of 180?'
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 117 percent of 180. What are the steps?
Step 1: First determine the value of the whole amount. We assume that the whole amount is 180.
Step 2: Determine the percentage, which is 117.
Step 3: Convert the percentage 117% to its decimal form by dividing 117 by 100 to get the decimal number 1.17:
117100 = 1.17
Notice that dividing by 100 is the same as moving the decimal point two places to the left.
117.0 → 11.70 → 1.17
Step 4: Finally, find the portion by multiplying the decimal form found in the previous step by the whole amount:
1.17 x 180 = 210.6 (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 = 180 × 117100 = 180 × 1.17 = 210.6 (answer)
Therefore, the answer is 210.6 is that 117 percent of 180.