13.5 is what percent of 92.8 - 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 92.8 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 92.8, so we can write it down as 100%=92.8.
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%=92.8
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%=92.8/13.5
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 92.8

100%/x%=92.8/13.5
(100/x)*x=(92.8/13.5)*x       - we multiply both sides of the equation by x
100=6.8740740740741*x       - we divide both sides of the equation by (6.8740740740741) to get x
100/6.8740740740741=x
14.547413793103=x
x=14.547413793103

now we have:
13.5 is 14.547413793103% of 92.8