43.5 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 43.5 of the output value, so we can write it down as x%=43.5.
5. Now we have two simple equations:
1) 100%=1100
2) x%=43.5
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%=1100/43.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.5 is what percent of 1100

100%/x%=1100/43.5
(100/x)*x=(1100/43.5)*x       - we multiply both sides of the equation by x
100=25.287356321839*x       - we divide both sides of the equation by (25.287356321839) to get x
100/25.287356321839=x
3.9545454545455=x
x=3.9545454545455

now we have:
43.5 is 3.9545454545455% of 1100