145.25 is what percent of 160.447 - 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 160.447 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 160.447, so we can write it down as 100%=160.447.
4. We know, that x% equals 145.25 of the output value, so we can write it down as x%=145.25.
5. Now we have two simple equations:
1) 100%=160.447
2) x%=145.25
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%=160.447/145.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.25 is what percent of 160.447

100%/x%=160.447/145.25
(100/x)*x=(160.447/145.25)*x       - we multiply both sides of the equation by x
100=1.1046265060241*x       - we divide both sides of the equation by (1.1046265060241) to get x
100/1.1046265060241=x
90.528336460015=x
x=90.528336460015

now we have:
145.25 is 90.528336460015% of 160.447