164.11 is what percent of 173.55 - 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 173.55 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 173.55, so we can write it down as 100%=173.55.
4. We know, that x% equals 164.11 of the output value, so we can write it down as x%=164.11.
5. Now we have two simple equations:
1) 100%=173.55
2) x%=164.11
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%=173.55/164.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.11 is what percent of 173.55

100%/x%=173.55/164.11
(100/x)*x=(173.55/164.11)*x       - we multiply both sides of the equation by x
100=1.0575223935165*x       - we divide both sides of the equation by (1.0575223935165) to get x
100/1.0575223935165=x
94.560645347162=x
x=94.560645347162

now we have:
164.11 is 94.560645347162% of 173.55