220.74 is what percent of 265.2 - 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 265.2 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 265.2, so we can write it down as 100%=265.2.
4. We know, that x% equals 220.74 of the output value, so we can write it down as x%=220.74.
5. Now we have two simple equations:
1) 100%=265.2
2) x%=220.74
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%=265.2/220.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 220.74 is what percent of 265.2

100%/x%=265.2/220.74
(100/x)*x=(265.2/220.74)*x       - we multiply both sides of the equation by x
100=1.2014134275618*x       - we divide both sides of the equation by (1.2014134275618) to get x
100/1.2014134275618=x
83.235294117647=x
x=83.235294117647

now we have:
220.74 is 83.235294117647% of 265.2