33.8 is what percent of 135.19 - 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 135.19 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 135.19, so we can write it down as 100%=135.19.
4. We know, that x% equals 33.8 of the output value, so we can write it down as x%=33.8.
5. Now we have two simple equations:
1) 100%=135.19
2) x%=33.8
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%=135.19/33.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.8 is what percent of 135.19

100%/x%=135.19/33.8
(100/x)*x=(135.19/33.8)*x       - we multiply both sides of the equation by x
100=3.9997041420118*x       - we divide both sides of the equation by (3.9997041420118) to get x
100/3.9997041420118=x
25.001849249205=x
x=25.001849249205

now we have:
33.8 is 25.001849249205% of 135.19