44.96 is what percent of 99.37 - 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 99.37 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 99.37, so we can write it down as 100%=99.37.
4. We know, that x% equals 44.96 of the output value, so we can write it down as x%=44.96.
5. Now we have two simple equations:
1) 100%=99.37
2) x%=44.96
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%=99.37/44.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.96 is what percent of 99.37

100%/x%=99.37/44.96
(100/x)*x=(99.37/44.96)*x       - we multiply both sides of the equation by x
100=2.2101868327402*x       - we divide both sides of the equation by (2.2101868327402) to get x
100/2.2101868327402=x
45.245043775787=x
x=45.245043775787

now we have:
44.96 is 45.245043775787% of 99.37