6.24 is what percent of 57.25 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 57.25 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 57.25, so we can write it down as 100%=57.25.
4. We know, that x% equals 6.24 of the output value, so we can write it down as x%=6.24.
5. Now we have two simple equations:
1) 100%=57.25
2) x%=6.24
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%=57.25/6.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.24 is what percent of 57.25

100%/x%=57.25/6.24
(100/x)*x=(57.25/6.24)*x       - we multiply both sides of the equation by x
100=9.1746794871795*x       - we divide both sides of the equation by (9.1746794871795) to get x
100/9.1746794871795=x
10.899563318777=x
x=10.899563318777

now we have:
6.24 is 10.899563318777% of 57.25