220.25 is what percent of 233 - 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 233 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 233, so we can write it down as 100%=233.
4. We know, that x% equals 220.25 of the output value, so we can write it down as x%=220.25.
5. Now we have two simple equations:
1) 100%=233
2) x%=220.25
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%=233/220.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 220.25 is what percent of 233

100%/x%=233/220.25
(100/x)*x=(233/220.25)*x       - we multiply both sides of the equation by x
100=1.0578887627696*x       - we divide both sides of the equation by (1.0578887627696) to get x
100/1.0578887627696=x
94.527896995708=x
x=94.527896995708

now we have:
220.25 is 94.527896995708% of 233