233.69 is what percent of 1105.12 - 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 1105.12 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 1105.12, so we can write it down as 100%=1105.12.
4. We know, that x% equals 233.69 of the output value, so we can write it down as x%=233.69.
5. Now we have two simple equations:
1) 100%=1105.12
2) x%=233.69
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%=1105.12/233.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.69 is what percent of 1105.12

100%/x%=1105.12/233.69
(100/x)*x=(1105.12/233.69)*x       - we multiply both sides of the equation by x
100=4.7289999572083*x       - we divide both sides of the equation by (4.7289999572083) to get x
100/4.7289999572083=x
21.146119878384=x
x=21.146119878384

now we have:
233.69 is 21.146119878384% of 1105.12