232.75 is what percent of 2163.75 - 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 2163.75 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 2163.75, so we can write it down as 100%=2163.75.
4. We know, that x% equals 232.75 of the output value, so we can write it down as x%=232.75.
5. Now we have two simple equations:
1) 100%=2163.75
2) x%=232.75
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%=2163.75/232.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 232.75 is what percent of 2163.75

100%/x%=2163.75/232.75
(100/x)*x=(2163.75/232.75)*x       - we multiply both sides of the equation by x
100=9.296455424275*x       - we divide both sides of the equation by (9.296455424275) to get x
100/9.296455424275=x
10.756787983824=x
x=10.756787983824

now we have:
232.75 is 10.756787983824% of 2163.75