52 is what percent of 11375 - 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 11375 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 11375, so we can write it down as 100%=11375.
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%=11375
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%=11375/52
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 11375

100%/x%=11375/52
(100/x)*x=(11375/52)*x       - we multiply both sides of the equation by x
100=218.75*x       - we divide both sides of the equation by (218.75) to get x
100/218.75=x
0.45714285714286=x
x=0.45714285714286

now we have:
52 is 0.45714285714286% of 11375