172.19 is what percent of 185 - 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 185 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 185, so we can write it down as 100%=185.
4. We know, that x% equals 172.19 of the output value, so we can write it down as x%=172.19.
5. Now we have two simple equations:
1) 100%=185
2) x%=172.19
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%=185/172.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.19 is what percent of 185

100%/x%=185/172.19
(100/x)*x=(185/172.19)*x       - we multiply both sides of the equation by x
100=1.0743945641443*x       - we divide both sides of the equation by (1.0743945641443) to get x
100/1.0743945641443=x
93.075675675676=x
x=93.075675675676

now we have:
172.19 is 93.075675675676% of 185