72.49 is what percent of 40159.42 - 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 40159.42 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 40159.42, so we can write it down as 100%=40159.42.
4. We know, that x% equals 72.49 of the output value, so we can write it down as x%=72.49.
5. Now we have two simple equations:
1) 100%=40159.42
2) x%=72.49
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%=40159.42/72.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.49 is what percent of 40159.42

100%/x%=40159.42/72.49
(100/x)*x=(40159.42/72.49)*x       - we multiply both sides of the equation by x
100=553.99944819975*x       - we divide both sides of the equation by (553.99944819975) to get x
100/553.99944819975=x
0.18050559495132=x
x=0.18050559495132

now we have:
72.49 is 0.18050559495132% of 40159.42