57.46 is what percent of 82.95 - 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 82.95 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 82.95, so we can write it down as 100%=82.95.
4. We know, that x% equals 57.46 of the output value, so we can write it down as x%=57.46.
5. Now we have two simple equations:
1) 100%=82.95
2) x%=57.46
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%=82.95/57.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.46 is what percent of 82.95

100%/x%=82.95/57.46
(100/x)*x=(82.95/57.46)*x       - we multiply both sides of the equation by x
100=1.4436129481378*x       - we divide both sides of the equation by (1.4436129481378) to get x
100/1.4436129481378=x
69.270644966847=x
x=69.270644966847

now we have:
57.46 is 69.270644966847% of 82.95