72290.55 is what percent of 84023.55 - 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 84023.55 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 84023.55, so we can write it down as 100%=84023.55.
4. We know, that x% equals 72290.55 of the output value, so we can write it down as x%=72290.55.
5. Now we have two simple equations:
1) 100%=84023.55
2) x%=72290.55
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%=84023.55/72290.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72290.55 is what percent of 84023.55

100%/x%=84023.55/72290.55
(100/x)*x=(84023.55/72290.55)*x       - we multiply both sides of the equation by x
100=1.1623033716025*x       - we divide both sides of the equation by (1.1623033716025) to get x
100/1.1623033716025=x
86.036057748096=x
x=86.036057748096

now we have:
72290.55 is 86.036057748096% of 84023.55