173.22 is what percent of 283.2 - 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 283.2 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 283.2, so we can write it down as 100%=283.2.
4. We know, that x% equals 173.22 of the output value, so we can write it down as x%=173.22.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=173.22
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%=283.2/173.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 173.22 is what percent of 283.2

100%/x%=283.2/173.22
(100/x)*x=(283.2/173.22)*x       - we multiply both sides of the equation by x
100=1.6349151368202*x       - we divide both sides of the equation by (1.6349151368202) to get x
100/1.6349151368202=x
61.165254237288=x
x=61.165254237288

now we have:
173.22 is 61.165254237288% of 283.2