11 is what percent of 89.99 - 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 89.99 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 89.99, so we can write it down as 100%=89.99.
4. We know, that x% equals 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=89.99
2) x%=11
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%=89.99/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 89.99

100%/x%=89.99/11
(100/x)*x=(89.99/11)*x       - we multiply both sides of the equation by x
100=8.1809090909091*x       - we divide both sides of the equation by (8.1809090909091) to get x
100/8.1809090909091=x
12.223580397822=x
x=12.223580397822

now we have:
11 is 12.223580397822% of 89.99