253.68 is what percent of 264.25 - 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 264.25 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 264.25, so we can write it down as 100%=264.25.
4. We know, that x% equals 253.68 of the output value, so we can write it down as x%=253.68.
5. Now we have two simple equations:
1) 100%=264.25
2) x%=253.68
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%=264.25/253.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.68 is what percent of 264.25

100%/x%=264.25/253.68
(100/x)*x=(264.25/253.68)*x       - we multiply both sides of the equation by x
100=1.0416666666667*x       - we divide both sides of the equation by (1.0416666666667) to get x
100/1.0416666666667=x
96=x
x=96

now we have:
253.68 is 96% of 264.25