# What is 0.01 percent of 0.5?

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### Solution for 'What is 0.01% of 0.5?'

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 0.01 percent of 0.5. What are the steps?

Step 1: First determine the value of the whole amount. We assume that the whole amount is 0.5.

Step 2: Determine the percentage, which is 0.01.

Step 3: Convert the percentage 0.01% to its decimal form by dividing 0.01 by 100 to get the decimal number 0.0001:

0.01100 = 0.0001

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

0.0 → 0.00 → 0.00

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

0.0001 x 0.5 = 5.0E-5 (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 = 0.5 × 0.01100 = 0.5 × 0.0001 = 5.0E-5 (answer)

Therefore, the answer is 5.0E-5 is that 0.01 percent of 0.5.