1.25 is what percent of 160.05 - 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 160.05 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 160.05, so we can write it down as 100%=160.05.
4. We know, that x% equals 1.25 of the output value, so we can write it down as x%=1.25.
5. Now we have two simple equations:
1) 100%=160.05
2) x%=1.25
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%=160.05/1.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.25 is what percent of 160.05

100%/x%=160.05/1.25
(100/x)*x=(160.05/1.25)*x       - we multiply both sides of the equation by x
100=128.04*x       - we divide both sides of the equation by (128.04) to get x
100/128.04=x
0.78100593564511=x
x=0.78100593564511

now we have:
1.25 is 0.78100593564511% of 160.05