9 is what percent of 172.5 - 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 172.5 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 172.5, so we can write it down as 100%=172.5.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=172.5
2) x%=9
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%=172.5/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 172.5

100%/x%=172.5/9
(100/x)*x=(172.5/9)*x       - we multiply both sides of the equation by x
100=19.166666666667*x       - we divide both sides of the equation by (19.166666666667) to get x
100/19.166666666667=x
5.2173913043478=x
x=5.2173913043478

now we have:
9 is 5.2173913043478% of 172.5