59.53 is what percent of 77.04 - 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 77.04 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 77.04, so we can write it down as 100%=77.04.
4. We know, that x% equals 59.53 of the output value, so we can write it down as x%=59.53.
5. Now we have two simple equations:
1) 100%=77.04
2) x%=59.53
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%=77.04/59.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.53 is what percent of 77.04

100%/x%=77.04/59.53
(100/x)*x=(77.04/59.53)*x       - we multiply both sides of the equation by x
100=1.2941374097094*x       - we divide both sides of the equation by (1.2941374097094) to get x
100/1.2941374097094=x
77.271547248183=x
x=77.271547248183

now we have:
59.53 is 77.271547248183% of 77.04