90 is what percent of 11177 - 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 11177 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 11177, so we can write it down as 100%=11177.
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%=11177
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%=11177/90
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 11177

100%/x%=11177/90
(100/x)*x=(11177/90)*x       - we multiply both sides of the equation by x
100=124.18888888889*x       - we divide both sides of the equation by (124.18888888889) to get x
100/124.18888888889=x
0.80522501565715=x
x=0.80522501565715

now we have:
90 is 0.80522501565715% of 11177