23.29 is what percent of 1100 - 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 1100 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 1100, so we can write it down as 100%=1100.
4. We know, that x% equals 23.29 of the output value, so we can write it down as x%=23.29.
5. Now we have two simple equations:
1) 100%=1100
2) x%=23.29
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%=1100/23.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.29 is what percent of 1100

100%/x%=1100/23.29
(100/x)*x=(1100/23.29)*x       - we multiply both sides of the equation by x
100=47.230571060541*x       - we divide both sides of the equation by (47.230571060541) to get x
100/47.230571060541=x
2.1172727272727=x
x=2.1172727272727

now we have:
23.29 is 2.1172727272727% of 1100