47.88 is what percent of 57.6 - 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 57.6 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 57.6, so we can write it down as 100%=57.6.
4. We know, that x% equals 47.88 of the output value, so we can write it down as x%=47.88.
5. Now we have two simple equations:
1) 100%=57.6
2) x%=47.88
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%=57.6/47.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.88 is what percent of 57.6

100%/x%=57.6/47.88
(100/x)*x=(57.6/47.88)*x       - we multiply both sides of the equation by x
100=1.203007518797*x       - we divide both sides of the equation by (1.203007518797) to get x
100/1.203007518797=x
83.125=x
x=83.125

now we have:
47.88 is 83.125% of 57.6