52.11 is what percent of 88.73 - 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 88.73 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 88.73, so we can write it down as 100%=88.73.
4. We know, that x% equals 52.11 of the output value, so we can write it down as x%=52.11.
5. Now we have two simple equations:
1) 100%=88.73
2) x%=52.11
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%=88.73/52.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.11 is what percent of 88.73

100%/x%=88.73/52.11
(100/x)*x=(88.73/52.11)*x       - we multiply both sides of the equation by x
100=1.7027441949722*x       - we divide both sides of the equation by (1.7027441949722) to get x
100/1.7027441949722=x
58.728727600586=x
x=58.728727600586

now we have:
52.11 is 58.728727600586% of 88.73