13.5 is what percent of 134.99 - 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 134.99 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 134.99, so we can write it down as 100%=134.99.
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%=134.99
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%=134.99/13.5
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 134.99

100%/x%=134.99/13.5
(100/x)*x=(134.99/13.5)*x       - we multiply both sides of the equation by x
100=9.9992592592593*x       - we divide both sides of the equation by (9.9992592592593) to get x
100/9.9992592592593=x
10.000740795614=x
x=10.000740795614

now we have:
13.5 is 10.000740795614% of 134.99