135.8 is what percent of 270.9 - 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 270.9 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 270.9, so we can write it down as 100%=270.9.
4. We know, that x% equals 135.8 of the output value, so we can write it down as x%=135.8.
5. Now we have two simple equations:
1) 100%=270.9
2) x%=135.8
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%=270.9/135.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.8 is what percent of 270.9

100%/x%=270.9/135.8
(100/x)*x=(270.9/135.8)*x       - we multiply both sides of the equation by x
100=1.9948453608247*x       - we divide both sides of the equation by (1.9948453608247) to get x
100/1.9948453608247=x
50.129198966408=x
x=50.129198966408

now we have:
135.8 is 50.129198966408% of 270.9