136.74 is what percent of 263.22 - 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 263.22 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 263.22, so we can write it down as 100%=263.22.
4. We know, that x% equals 136.74 of the output value, so we can write it down as x%=136.74.
5. Now we have two simple equations:
1) 100%=263.22
2) x%=136.74
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%=263.22/136.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.74 is what percent of 263.22

100%/x%=263.22/136.74
(100/x)*x=(263.22/136.74)*x       - we multiply both sides of the equation by x
100=1.9249670908293*x       - we divide both sides of the equation by (1.9249670908293) to get x
100/1.9249670908293=x
51.948940050148=x
x=51.948940050148

now we have:
136.74 is 51.948940050148% of 263.22