Question

Solve the percent problem. What is \(30 \%\) of \(160 ?\)

Short answer

The answer is \(48\).

Step-by-step solution

Understand Percentage

A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, \'\%\'. Therefore, when you are finding \(30 \%\) of a number, you are finding \(30\) out of \(100\) parts of that number.

Express Percentage as Decimal

In order to find a percentage of a number, you need to convert the percentage to a decimal. To convert a percentage to a decimal, divide the percentage by 100. So, \(30 \%\) is \(0.30\) when expressed as a decimal.

Calculate

Now multiply the decimal by the number to find the answer. So multiply \(0.30\) (which is the decimal equivalent of \(30 \%)\) by \(160\). This gives \(0.30 * 160 = 48\).