90 is what percent of 1086 - 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 1086 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 1086, so we can write it down as 100%=1086.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=1086
2) x%=90
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%=1086/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 1086

100%/x%=1086/90
(100/x)*x=(1086/90)*x       - we multiply both sides of the equation by x
100=12.066666666667*x       - we divide both sides of the equation by (12.066666666667) to get x
100/12.066666666667=x
8.2872928176796=x
x=8.2872928176796

now we have:
90 is 8.2872928176796% of 1086