28.9 is what percent of 11 - 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 11 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 11, so we can write it down as 100%=11.
4. We know, that x% equals 28.9 of the output value, so we can write it down as x%=28.9.
5. Now we have two simple equations:
1) 100%=11
2) x%=28.9
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%=11/28.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.9 is what percent of 11

100%/x%=11/28.9
(100/x)*x=(11/28.9)*x       - we multiply both sides of the equation by x
100=0.38062283737024*x       - we divide both sides of the equation by (0.38062283737024) to get x
100/0.38062283737024=x
262.72727272727=x
x=262.72727272727

now we have:
28.9 is 262.72727272727% of 11