40544.4 is what percent of 55544.4 - 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 55544.4 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 55544.4, so we can write it down as 100%=55544.4.
4. We know, that x% equals 40544.4 of the output value, so we can write it down as x%=40544.4.
5. Now we have two simple equations:
1) 100%=55544.4
2) x%=40544.4
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%=55544.4/40544.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40544.4 is what percent of 55544.4

100%/x%=55544.4/40544.4
(100/x)*x=(55544.4/40544.4)*x       - we multiply both sides of the equation by x
100=1.369964779353*x       - we divide both sides of the equation by (1.369964779353) to get x
100/1.369964779353=x
72.994577311124=x
x=72.994577311124

now we have:
40544.4 is 72.994577311124% of 55544.4