53.68 is what percent of 518.7 - 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 518.7 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 518.7, so we can write it down as 100%=518.7.
4. We know, that x% equals 53.68 of the output value, so we can write it down as x%=53.68.
5. Now we have two simple equations:
1) 100%=518.7
2) x%=53.68
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%=518.7/53.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.68 is what percent of 518.7

100%/x%=518.7/53.68
(100/x)*x=(518.7/53.68)*x       - we multiply both sides of the equation by x
100=9.6628166915052*x       - we divide both sides of the equation by (9.6628166915052) to get x
100/9.6628166915052=x
10.348949296318=x
x=10.348949296318

now we have:
53.68 is 10.348949296318% of 518.7