52 is what percent of 353 - 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 353 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 353, so we can write it down as 100%=353.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=353
2) x%=52
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%=353/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 353

100%/x%=353/52
(100/x)*x=(353/52)*x       - we multiply both sides of the equation by x
100=6.7884615384615*x       - we divide both sides of the equation by (6.7884615384615) to get x
100/6.7884615384615=x
14.730878186969=x
x=14.730878186969

now we have:
52 is 14.730878186969% of 353