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Solution for 'What is 17% of third?'
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 17 percent of 0.33333333333333. What are the steps?
Step 1: first determine the value of the whole amount. We assume that the whole amount is 0.33333333333333.
Step 2: determine the percentage, which is 17.
Step 3: Convert the percentage 17% to its decimal form by dividing 17 into 100 to get the decimal number 0.17:
17100 = 0.17
Notice that dividing into 100 is the same as moving the decimal point two places to the left.
17.0 → 1.70 → 0.17
Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:
0.17 x 0.33333333333333 = 0.056666666666667 (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 = 0.33333333333333 × 17100 = 0.33333333333333 × 0.17 = 0.056666666666667 (answer)
Therefore, the answer is 0.056666666666667 is 17 percent of 0.33333333333333.