51.46 is what percent of 59.18 - 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 59.18 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 59.18, so we can write it down as 100%=59.18.
4. We know, that x% equals 51.46 of the output value, so we can write it down as x%=51.46.
5. Now we have two simple equations:
1) 100%=59.18
2) x%=51.46
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%=59.18/51.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.46 is what percent of 59.18

100%/x%=59.18/51.46
(100/x)*x=(59.18/51.46)*x       - we multiply both sides of the equation by x
100=1.150019432569*x       - we divide both sides of the equation by (1.150019432569) to get x
100/1.150019432569=x
86.955052382562=x
x=86.955052382562

now we have:
51.46 is 86.955052382562% of 59.18