144.8 is what percent of 153.5 - 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 153.5 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 153.5, so we can write it down as 100%=153.5.
4. We know, that x% equals 144.8 of the output value, so we can write it down as x%=144.8.
5. Now we have two simple equations:
1) 100%=153.5
2) x%=144.8
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%=153.5/144.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.8 is what percent of 153.5

100%/x%=153.5/144.8
(100/x)*x=(153.5/144.8)*x       - we multiply both sides of the equation by x
100=1.0600828729282*x       - we divide both sides of the equation by (1.0600828729282) to get x
100/1.0600828729282=x
94.332247557003=x
x=94.332247557003

now we have:
144.8 is 94.332247557003% of 153.5