135.36 is what percent of 226.36 - 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 226.36 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 226.36, so we can write it down as 100%=226.36.
4. We know, that x% equals 135.36 of the output value, so we can write it down as x%=135.36.
5. Now we have two simple equations:
1) 100%=226.36
2) x%=135.36
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%=226.36/135.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.36 is what percent of 226.36

100%/x%=226.36/135.36
(100/x)*x=(226.36/135.36)*x       - we multiply both sides of the equation by x
100=1.6722813238771*x       - we divide both sides of the equation by (1.6722813238771) to get x
100/1.6722813238771=x
59.798550980739=x
x=59.798550980739

now we have:
135.36 is 59.798550980739% of 226.36