73.05 is what percent of 83.49 - 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 83.49 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 83.49, so we can write it down as 100%=83.49.
4. We know, that x% equals 73.05 of the output value, so we can write it down as x%=73.05.
5. Now we have two simple equations:
1) 100%=83.49
2) x%=73.05
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%=83.49/73.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.05 is what percent of 83.49

100%/x%=83.49/73.05
(100/x)*x=(83.49/73.05)*x       - we multiply both sides of the equation by x
100=1.1429158110883*x       - we divide both sides of the equation by (1.1429158110883) to get x
100/1.1429158110883=x
87.495508444125=x
x=87.495508444125

now we have:
73.05 is 87.495508444125% of 83.49