136.2 is what percent of 144.9 - 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 144.9 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 144.9, so we can write it down as 100%=144.9.
4. We know, that x% equals 136.2 of the output value, so we can write it down as x%=136.2.
5. Now we have two simple equations:
1) 100%=144.9
2) x%=136.2
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%=144.9/136.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.2 is what percent of 144.9

100%/x%=144.9/136.2
(100/x)*x=(144.9/136.2)*x       - we multiply both sides of the equation by x
100=1.0638766519824*x       - we divide both sides of the equation by (1.0638766519824) to get x
100/1.0638766519824=x
93.99585921325=x
x=93.99585921325

now we have:
136.2 is 93.99585921325% of 144.9