90 is what percent of 1076 - 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 1076 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 1076, so we can write it down as 100%=1076.
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%=1076
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%=1076/90
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 1076

100%/x%=1076/90
(100/x)*x=(1076/90)*x       - we multiply both sides of the equation by x
100=11.955555555556*x       - we divide both sides of the equation by (11.955555555556) to get x
100/11.955555555556=x
8.364312267658=x
x=8.364312267658

now we have:
90 is 8.364312267658% of 1076