59.24 is what percent of 602.78 - 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 602.78 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 602.78, so we can write it down as 100%=602.78.
4. We know, that x% equals 59.24 of the output value, so we can write it down as x%=59.24.
5. Now we have two simple equations:
1) 100%=602.78
2) x%=59.24
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%=602.78/59.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.24 is what percent of 602.78

100%/x%=602.78/59.24
(100/x)*x=(602.78/59.24)*x       - we multiply both sides of the equation by x
100=10.17521944632*x       - we divide both sides of the equation by (10.17521944632) to get x
100/10.17521944632=x
9.8277978698696=x
x=9.8277978698696

now we have:
59.24 is 9.8277978698696% of 602.78