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46 percent of 64?

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Solution for 'What is 46% of 64?'

In the following example consider that:

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 46 percent of 64. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 64.

Step 2: determine the percentage, which is 46.

Step 3: Convert the percentage 46% to its decimal form by dividing 46 into 100 to get the decimal number 0.46:

46100 = 0.46

Notice that dividing into 100 is the same as moving the decimal point two places to the left.

46.0 → 4.60 → 0.46

Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount:

0.46 x 64 = 29.44 (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 = 64 × 46100 = 64 × 0.46 = 29.44 (answer)

Therefore, the answer is 29.44 is 46 percent of 64.

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