High School

112 minutes is what percentage of the total? (Given that 112 minutes is [tex]$76\%$[/tex] of the total)

Answer :

To find out what number 112 minutes is 76% of, we can follow these steps:

1. Understand the Problem:
We know that 112 minutes represents 76% of some unknown total. We need to find out what that total is.

2. Set Up the Equation:
We can express this situation with the equation:
[tex]\[
112 = 0.76 \times \text{total}
\][/tex]
Here, 0.76 is the decimal equivalent of 76%. We're using it to find the total number of minutes.

3. Solve for the Total:
To find the total, we need to isolate it on one side of the equation. We do this by dividing both sides of the equation by 0.76:
[tex]\[
\text{total} = \frac{112}{0.76}
\][/tex]

4. Calculate the Total:
When you perform the division [tex]\( \frac{112}{0.76} \)[/tex], you will find that:
[tex]\[
\text{total} \approx 147.37
\][/tex]

So, 112 minutes is approximately 76% of 147.37 minutes.