73.32 is what percent of 426.08 - 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 426.08 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 426.08, so we can write it down as 100%=426.08.
4. We know, that x% equals 73.32 of the output value, so we can write it down as x%=73.32.
5. Now we have two simple equations:
1) 100%=426.08
2) x%=73.32
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%=426.08/73.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.32 is what percent of 426.08

100%/x%=426.08/73.32
(100/x)*x=(426.08/73.32)*x       - we multiply both sides of the equation by x
100=5.8112384069831*x       - we divide both sides of the equation by (5.8112384069831) to get x
100/5.8112384069831=x
17.208036049568=x
x=17.208036049568

now we have:
73.32 is 17.208036049568% of 426.08