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What is 3 percent of 420?

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What is 'X' percent of 'W'

What is % of
Answer: 

'P' out of 'W' as a percentage

What is out of as a percentage?
Answer: %

'P' is 'X' percent of What?

is % of what?
Answer:

Visualizing Through Pie Charts

One way of visualizing 3 percent is through a pie chart. In this example, the orange slice represents the percentage of the whole pie.

3 percent pie chart
3 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 3, percent and the full square represents the whole or 100%.

3 percent bar chart
3 percent bar chart

Solution for 'What is 3% of 420?'

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 3 percent of 420. What are the steps?

Step 1: First determine the value of the whole amount. We assume that the whole amount is 420.

Step 2: Determine the percentage, which is 3.

Step 3: Convert the percentage 3% to its decimal form by dividing 3 by 100 to get the decimal number 0.03:

3100 = 0.03

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

3.0 → 0.30 → 0.03

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

0.03 x 420 = 12.6 (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 = 420 × 3100 = 420 × 0.03 = 12.6 (answer)

Therefore, the answer is 12.6 is that 3 percent of 420.

Sample percentage problems

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