13.5 is what percent of 17200 - 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 17200 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 17200, so we can write it down as 100%=17200.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=17200
2) x%=13.5
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%=17200/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 17200

100%/x%=17200/13.5
(100/x)*x=(17200/13.5)*x       - we multiply both sides of the equation by x
100=1274.0740740741*x       - we divide both sides of the equation by (1274.0740740741) to get x
100/1274.0740740741=x
0.078488372093023=x
x=0.078488372093023

now we have:
13.5 is 0.078488372093023% of 17200