52.85 is what percent of 79.5 - 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 79.5 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 79.5, so we can write it down as 100%=79.5.
4. We know, that x% equals 52.85 of the output value, so we can write it down as x%=52.85.
5. Now we have two simple equations:
1) 100%=79.5
2) x%=52.85
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%=79.5/52.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.85 is what percent of 79.5

100%/x%=79.5/52.85
(100/x)*x=(79.5/52.85)*x       - we multiply both sides of the equation by x
100=1.5042573320719*x       - we divide both sides of the equation by (1.5042573320719) to get x
100/1.5042573320719=x
66.477987421384=x
x=66.477987421384

now we have:
52.85 is 66.477987421384% of 79.5