254.62 is what percent of 332.8 - 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 332.8 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 332.8, so we can write it down as 100%=332.8.
4. We know, that x% equals 254.62 of the output value, so we can write it down as x%=254.62.
5. Now we have two simple equations:
1) 100%=332.8
2) x%=254.62
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%=332.8/254.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.62 is what percent of 332.8

100%/x%=332.8/254.62
(100/x)*x=(332.8/254.62)*x       - we multiply both sides of the equation by x
100=1.3070457937318*x       - we divide both sides of the equation by (1.3070457937318) to get x
100/1.3070457937318=x
76.508413461538=x
x=76.508413461538

now we have:
254.62 is 76.508413461538% of 332.8