52.6 is what percent of 175.2 - 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 175.2 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 175.2, so we can write it down as 100%=175.2.
4. We know, that x% equals 52.6 of the output value, so we can write it down as x%=52.6.
5. Now we have two simple equations:
1) 100%=175.2
2) x%=52.6
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%=175.2/52.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.6 is what percent of 175.2

100%/x%=175.2/52.6
(100/x)*x=(175.2/52.6)*x       - we multiply both sides of the equation by x
100=3.3307984790875*x       - we divide both sides of the equation by (3.3307984790875) to get x
100/3.3307984790875=x
30.022831050228=x
x=30.022831050228

now we have:
52.6 is 30.022831050228% of 175.2