A battery that lasts for 12 hours has been in use for 7 hours. What percent of the battery life has been used up?

To find the percentage of the battery life that has been used up, we can use the formula: \[ \text{Percentage used} = \left( \frac{\text{Hours used}}{\text{Total battery life}} \right) \times 100\% \] Given that the battery lasts for 12 hours and has been in use for 7 hours, we can substitute these values into the formula to find the percentage of the battery life that has been used up. Calculate the value by following steps: - step0: Calculate: \(\frac{7}{12}\times 100\) - step1: Reduce the numbers: \(\frac{7}{3}\times 25\) - step2: Multiply: \(\frac{7\times 25}{3}\) - step3: Multiply: \(\frac{175}{3}\) The percentage of the battery life that has been used up is \(58\frac{1}{3}\%\) or approximately 58.33%.