1000% of 880 is 60% of what number?

1 answer

To solve for the number \( x \) such that \( 1000% \) of \( 880 \) is equal to \( 60% \) of \( x \), we can start by expressing the equation mathematically.

First, calculate \( 1000% \) of \( 880 \): \[ 1000% \text{ of } 880 = 10 \times 880 = 8800 \]

Next, we set up the equation for \( 60% \) of \( x \): \[ 60% \text{ of } x = 0.6x \]

Now, we can set these equal to each other: \[ 8800 = 0.6x \]

To solve for \( x \), divide both sides by \( 0.6 \): \[ x = \frac{8800}{0.6} \] \[ x = 8800 \div 0.6 = 8800 \times \frac{10}{6} = 8800 \times \frac{5}{3} \] \[ x = \frac{44000}{3} \approx 14666.67 \]

Thus, \( x \) is approximately \( 14666.67 \).

Therefore, the answer is: \[ \boxed{14666.67} \]