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Solution for 'What is 101% of 105?'
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 101 percent of 105. What are the steps?
Step 1: First determine the value of the whole amount. We assume that the whole amount is 105.
Step 2: Determine the percentage, which is 101.
Step 3: Convert the percentage 101% to its decimal form by dividing 101 by 100 to get the decimal number 1.01:
101100 = 1.01
Notice that dividing by 100 is the same as moving the decimal point two places to the left.
101.0 → 10.10 → 1.01
Step 4: Finally, find the portion by multiplying the decimal form found in the previous step by the whole amount:
1.01 x 105 = 106.05 (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 = 105 × 101100 = 105 × 1.01 = 106.05 (answer)
Therefore, the answer is 106.05 is that 101 percent of 105.