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Solution for 'What is 1.3% of 400?'
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 1.3 percent of 400. What are the steps?
Step 1: first determine the value of the whole amount. We assume that the whole amount is 400.
Step 2: determine the percentage, which is 1.3.
Step 3: Convert the percentage 1.3% to its decimal form by dividing 1.3 into 100 to get the decimal number 0.013:
1.3100 = 0.013
Notice that dividing into 100 is the same as moving the decimal point two places to the left.
1.3 → 0.13 → 0.01
Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:
0.013 x 400 = 5.2 (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 = 400 × 1.3100 = 400 × 0.013 = 5.2 (answer)
Therefore, the answer is 5.2 is 1.3 percent of 400.