20.4 is what percent of 135.99 - 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 135.99 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 135.99, so we can write it down as 100%=135.99.
4. We know, that x% equals 20.4 of the output value, so we can write it down as x%=20.4.
5. Now we have two simple equations:
1) 100%=135.99
2) x%=20.4
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%=135.99/20.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.4 is what percent of 135.99

100%/x%=135.99/20.4
(100/x)*x=(135.99/20.4)*x       - we multiply both sides of the equation by x
100=6.6661764705882*x       - we divide both sides of the equation by (6.6661764705882) to get x
100/6.6661764705882=x
15.001103022281=x
x=15.001103022281

now we have:
20.4 is 15.001103022281% of 135.99