55.07 is what percent of 173.28 - 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 173.28 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 173.28, so we can write it down as 100%=173.28.
4. We know, that x% equals 55.07 of the output value, so we can write it down as x%=55.07.
5. Now we have two simple equations:
1) 100%=173.28
2) x%=55.07
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%=173.28/55.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.07 is what percent of 173.28

100%/x%=173.28/55.07
(100/x)*x=(173.28/55.07)*x       - we multiply both sides of the equation by x
100=3.1465407662974*x       - we divide both sides of the equation by (3.1465407662974) to get x
100/3.1465407662974=x
31.780932594645=x
x=31.780932594645

now we have:
55.07 is 31.780932594645% of 173.28