0.52 is what percent of 80.53 - 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 80.53 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 80.53, so we can write it down as 100%=80.53.
4. We know, that x% equals 0.52 of the output value, so we can write it down as x%=0.52.
5. Now we have two simple equations:
1) 100%=80.53
2) x%=0.52
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%=80.53/0.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.52 is what percent of 80.53

100%/x%=80.53/0.52
(100/x)*x=(80.53/0.52)*x       - we multiply both sides of the equation by x
100=154.86538461538*x       - we divide both sides of the equation by (154.86538461538) to get x
100/154.86538461538=x
0.64572209114616=x
x=0.64572209114616

now we have:
0.52 is 0.64572209114616% of 80.53