53.58 is what percent of 362.5 - 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 362.5 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 362.5, so we can write it down as 100%=362.5.
4. We know, that x% equals 53.58 of the output value, so we can write it down as x%=53.58.
5. Now we have two simple equations:
1) 100%=362.5
2) x%=53.58
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%=362.5/53.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.58 is what percent of 362.5

100%/x%=362.5/53.58
(100/x)*x=(362.5/53.58)*x       - we multiply both sides of the equation by x
100=6.765584173199*x       - we divide both sides of the equation by (6.765584173199) to get x
100/6.765584173199=x
14.780689655172=x
x=14.780689655172

now we have:
53.58 is 14.780689655172% of 362.5