13.5 is what percent of 120000 - 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 120000 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 120000, so we can write it down as 100%=120000.
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%=120000
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%=120000/13.5
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 120000

100%/x%=120000/13.5
(100/x)*x=(120000/13.5)*x       - we multiply both sides of the equation by x
100=8888.8888888889*x       - we divide both sides of the equation by (8888.8888888889) to get x
100/8888.8888888889=x
0.01125=x
x=0.01125

now we have:
13.5 is 0.01125% of 120000