9.29 is what percent of 10.86 - 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 10.86 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 10.86, so we can write it down as 100%=10.86.
4. We know, that x% equals 9.29 of the output value, so we can write it down as x%=9.29.
5. Now we have two simple equations:
1) 100%=10.86
2) x%=9.29
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%=10.86/9.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.29 is what percent of 10.86

100%/x%=10.86/9.29
(100/x)*x=(10.86/9.29)*x       - we multiply both sides of the equation by x
100=1.1689989235737*x       - we divide both sides of the equation by (1.1689989235737) to get x
100/1.1689989235737=x
85.543278084715=x
x=85.543278084715

now we have:
9.29 is 85.543278084715% of 10.86