254.34 is what percent of 200.96 - 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 200.96 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 200.96, so we can write it down as 100%=200.96.
4. We know, that x% equals 254.34 of the output value, so we can write it down as x%=254.34.
5. Now we have two simple equations:
1) 100%=200.96
2) x%=254.34
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%=200.96/254.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.34 is what percent of 200.96

100%/x%=200.96/254.34
(100/x)*x=(200.96/254.34)*x       - we multiply both sides of the equation by x
100=0.79012345679012*x       - we divide both sides of the equation by (0.79012345679012) to get x
100/0.79012345679012=x
126.5625=x
x=126.5625

now we have:
254.34 is 126.5625% of 200.96