8.66 is what percent of 9.62 - 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 9.62 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 9.62, so we can write it down as 100%=9.62.
4. We know, that x% equals 8.66 of the output value, so we can write it down as x%=8.66.
5. Now we have two simple equations:
1) 100%=9.62
2) x%=8.66
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%=9.62/8.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.66 is what percent of 9.62

100%/x%=9.62/8.66
(100/x)*x=(9.62/8.66)*x       - we multiply both sides of the equation by x
100=1.1108545034642*x       - we divide both sides of the equation by (1.1108545034642) to get x
100/1.1108545034642=x
90.02079002079=x
x=90.02079002079

now we have:
8.66 is 90.02079002079% of 9.62