Write each percent as a decimal. 117%

Verified step by step guidance

1. Recall that to convert a percent to a decimal, you divide the percent value by 100.
2. Write the given percent as a fraction over 100: \(117\% = \frac{117}{100}\).
3. Perform the division to express the fraction as a decimal: \(\frac{117}{100} = 1.17\).
4. Therefore, the decimal equivalent of 117% is 1.17.
5. Remember that percentages greater than 100% will result in decimals greater than 1.

Key Concepts

Understanding Percentages

A percentage represents a part out of 100. It is a way to express ratios or fractions with a denominator of 100. For example, 117% means 117 parts out of 100, which is more than a whole.

Converting Percent to Decimal

To convert a percentage to a decimal, divide the percentage value by 100. This shifts the decimal point two places to the left. For instance, 117% becomes 1.17 as a decimal.

Decimal Notation and Place Value

Decimal notation uses a decimal point to separate whole numbers from fractional parts. Understanding place value helps interpret decimals correctly, such as recognizing that 1.17 means 1 whole and 17 hundredths.