24 is 31.25% of what number? Prove your answer in the show your workbox. Pls explain it I'm giving brainlienesss

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

(100/x)*x=(31.25/24)*x       - we multiply both sides of the equation by x

100=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

each side has a different length.  

step-by-step explanation: