48.28 is what percent of 57.42 - 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 57.42 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 57.42, so we can write it down as 100%=57.42.
4. We know, that x% equals 48.28 of the output value, so we can write it down as x%=48.28.
5. Now we have two simple equations:
1) 100%=57.42
2) x%=48.28
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%=57.42/48.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.28 is what percent of 57.42

100%/x%=57.42/48.28
(100/x)*x=(57.42/48.28)*x       - we multiply both sides of the equation by x
100=1.1893123446562*x       - we divide both sides of the equation by (1.1893123446562) to get x
100/1.1893123446562=x
84.082201323581=x
x=84.082201323581

now we have:
48.28 is 84.082201323581% of 57.42