23.28 is what percent of 232.75 - 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 232.75 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 232.75, so we can write it down as 100%=232.75.
4. We know, that x% equals 23.28 of the output value, so we can write it down as x%=23.28.
5. Now we have two simple equations:
1) 100%=232.75
2) x%=23.28
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%=232.75/23.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.28 is what percent of 232.75

100%/x%=232.75/23.28
(100/x)*x=(232.75/23.28)*x       - we multiply both sides of the equation by x
100=9.997852233677*x       - we divide both sides of the equation by (9.997852233677) to get x
100/9.997852233677=x
10.002148227712=x
x=10.002148227712

now we have:
23.28 is 10.002148227712% of 232.75