62 is what percent of 57 - 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 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, so we can write it down as 100%=57.
4. We know, that x% equals 62 of the output value, so we can write it down as x%=62.
5. Now we have two simple equations:
1) 100%=57
2) x%=62
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%=57/62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62 is what percent of 57

100%/x%=57/62
(100/x)*x=(57/62)*x       - we multiply both sides of the equation by x
100=0.91935483870968*x       - we divide both sides of the equation by (0.91935483870968) to get x
100/0.91935483870968=x
108.77192982456=x
x=108.77192982456

now we have:
62 is 108.77192982456% of 57