53.4 is what percent of 57.1 - 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 57.1 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 57.1, so we can write it down as 100%=57.1.
4. We know, that x% equals 53.4 of the output value, so we can write it down as x%=53.4.
5. Now we have two simple equations:
1) 100%=57.1
2) x%=53.4
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%=57.1/53.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.4 is what percent of 57.1

100%/x%=57.1/53.4
(100/x)*x=(57.1/53.4)*x       - we multiply both sides of the equation by x
100=1.0692883895131*x       - we divide both sides of the equation by (1.0692883895131) to get x
100/1.0692883895131=x
93.520140105079=x
x=93.520140105079

now we have:
53.4 is 93.520140105079% of 57.1