8 is what percent of 1.025 - 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 1.025 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 1.025, so we can write it down as 100%=1.025.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=1.025
2) x%=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%=1.025/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 1.025

100%/x%=1.025/8
(100/x)*x=(1.025/8)*x       - we multiply both sides of the equation by x
100=0.128125*x       - we divide both sides of the equation by (0.128125) to get x
100/0.128125=x
780.48780487805=x
x=780.48780487805

now we have:
8 is 780.48780487805% of 1.025