249.78 is what percent of 220.09 - 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 220.09 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 220.09, so we can write it down as 100%=220.09.
4. We know, that x% equals 249.78 of the output value, so we can write it down as x%=249.78.
5. Now we have two simple equations:
1) 100%=220.09
2) x%=249.78
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%=220.09/249.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 249.78 is what percent of 220.09

100%/x%=220.09/249.78
(100/x)*x=(220.09/249.78)*x       - we multiply both sides of the equation by x
100=0.88113539915125*x       - we divide both sides of the equation by (0.88113539915125) to get x
100/0.88113539915125=x
113.4899359353=x
x=113.4899359353

now we have:
249.78 is 113.4899359353% of 220.09