10.2 is what percent of 121.5 - 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 121.5 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 121.5, so we can write it down as 100%=121.5.
4. We know, that x% equals 10.2 of the output value, so we can write it down as x%=10.2.
5. Now we have two simple equations:
1) 100%=121.5
2) x%=10.2
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%=121.5/10.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.2 is what percent of 121.5

100%/x%=121.5/10.2
(100/x)*x=(121.5/10.2)*x       - we multiply both sides of the equation by x
100=11.911764705882*x       - we divide both sides of the equation by (11.911764705882) to get x
100/11.911764705882=x
8.3950617283951=x
x=8.3950617283951

now we have:
10.2 is 8.3950617283951% of 121.5