160.1 is what percent of 247.5 - 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 247.5 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 247.5, so we can write it down as 100%=247.5.
4. We know, that x% equals 160.1 of the output value, so we can write it down as x%=160.1.
5. Now we have two simple equations:
1) 100%=247.5
2) x%=160.1
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%=247.5/160.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.1 is what percent of 247.5

100%/x%=247.5/160.1
(100/x)*x=(247.5/160.1)*x       - we multiply both sides of the equation by x
100=1.5459088069956*x       - we divide both sides of the equation by (1.5459088069956) to get x
100/1.5459088069956=x
64.686868686869=x
x=64.686868686869

now we have:
160.1 is 64.686868686869% of 247.5