Fractions, decimals, and percents are three ways to show parts of a whole. We want to write a fraction as a decimal and as a percent. Let's do these things one at a time.
Notice that the quotient is a repeating decimal — the digit 5 repeats indefinitely. Using bar notation, we can write that 149 expressed as a decimal is 1.5.
Writing a Decimal as a Percent
Instead of writing a fraction as a percent, let's use our previous work and convert the decimal to a percent. To write a decimal as a percent, we multiply by 100 and add the percent symbol %.
We found that 1.555555... expressed as a percent is 155.5555 ... %, or 155.5 %. This means that 149 expressed as a percent is also 155.5 %.
