31.97 is what percent of 172.11 - 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 172.11 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 172.11, so we can write it down as 100%=172.11.
4. We know, that x% equals 31.97 of the output value, so we can write it down as x%=31.97.
5. Now we have two simple equations:
1) 100%=172.11
2) x%=31.97
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%=172.11/31.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.97 is what percent of 172.11

100%/x%=172.11/31.97
(100/x)*x=(172.11/31.97)*x       - we multiply both sides of the equation by x
100=5.3834845167344*x       - we divide both sides of the equation by (5.3834845167344) to get x
100/5.3834845167344=x
18.575329730986=x
x=18.575329730986

now we have:
31.97 is 18.575329730986% of 172.11