# 150 percent of 200?

## Percentage Calculator

### Solution for 'What is 150% of 200?'

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 150 percent of 200. What are the steps?

Step 1: first determine the value of the whole amount. We assume that the whole amount is 200.

Step 2: determine the percentage, which is 150.

Step 3: Convert the percentage 150% to its decimal form by dividing 150 into 100 to get the decimal number 1.5:

150100 = 1.5

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

150.0 → 15.00 → 1.50

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

1.5 x 200 = 300 (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 = 200 × 150100 = 200 × 1.5 = 300 (answer)

Therefore, the answer is 300 is 150 percent of 200.