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What is 45 percent of 135?

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'P' out of 'W' as a percentage

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Visualizing Through Pie Charts

One way of visualizing 45 percent is through a pie chart. In this example, the orange slice represents the percentage of the whole pie.

45 percent pie chart
45 percent pie chart

Visualizing Percentage with Bar Charts

Another way of visualizing percentages is using a bar chart like the one below. The orange bar represents 45, percent and the full square represents the whole or 100%.

45 percent bar chart
45 percent bar chart

Solution for 'What is 45% of 135?'

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 45 percent of 135. What are the steps?

Step 1: First determine the value of the whole amount. We assume that the whole amount is 135.

Step 2: Determine the percentage, which is 45.

Step 3: Convert the percentage 45% to its decimal form by dividing 45 by 100 to get the decimal number 0.45:

45100 = 0.45

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

45.0 → 4.50 → 0.45

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

0.45 x 135 = 60.75 (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 = 135 × 45100 = 135 × 0.45 = 60.75 (answer)

Therefore, the answer is 60.75 is that 45 percent of 135.

Sample percentage problems

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