172.29 is what percent of 173.5 - 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 173.5 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 173.5, so we can write it down as 100%=173.5.
4. We know, that x% equals 172.29 of the output value, so we can write it down as x%=172.29.
5. Now we have two simple equations:
1) 100%=173.5
2) x%=172.29
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%=173.5/172.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.29 is what percent of 173.5

100%/x%=173.5/172.29
(100/x)*x=(173.5/172.29)*x       - we multiply both sides of the equation by x
100=1.0070230425445*x       - we divide both sides of the equation by (1.0070230425445) to get x
100/1.0070230425445=x
99.302593659942=x
x=99.302593659942

now we have:
172.29 is 99.302593659942% of 173.5