1.25 is what percent of 8.075 - 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 8.075 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 8.075, so we can write it down as 100%=8.075.
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%=8.075
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%=8.075/1.25
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 8.075

100%/x%=8.075/1.25
(100/x)*x=(8.075/1.25)*x       - we multiply both sides of the equation by x
100=6.46*x       - we divide both sides of the equation by (6.46) to get x
100/6.46=x
15.479876160991=x
x=15.479876160991

now we have:
1.25 is 15.479876160991% of 8.075