45.88 is what percent of 51.24 - 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 51.24 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 51.24, so we can write it down as 100%=51.24.
4. We know, that x% equals 45.88 of the output value, so we can write it down as x%=45.88.
5. Now we have two simple equations:
1) 100%=51.24
2) x%=45.88
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%=51.24/45.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.88 is what percent of 51.24

100%/x%=51.24/45.88
(100/x)*x=(51.24/45.88)*x       - we multiply both sides of the equation by x
100=1.1168265039233*x       - we divide both sides of the equation by (1.1168265039233) to get x
100/1.1168265039233=x
89.539422326308=x
x=89.539422326308

now we have:
45.88 is 89.539422326308% of 51.24