256.28 is what percent of 741.6 - 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 741.6 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 741.6, so we can write it down as 100%=741.6.
4. We know, that x% equals 256.28 of the output value, so we can write it down as x%=256.28.
5. Now we have two simple equations:
1) 100%=741.6
2) x%=256.28
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%=741.6/256.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 256.28 is what percent of 741.6

100%/x%=741.6/256.28
(100/x)*x=(741.6/256.28)*x       - we multiply both sides of the equation by x
100=2.8937100046824*x       - we divide both sides of the equation by (2.8937100046824) to get x
100/2.8937100046824=x
34.557713052859=x
x=34.557713052859

now we have:
256.28 is 34.557713052859% of 741.6