256.88 is what percent of 1746.16 - 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 1746.16 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 1746.16, so we can write it down as 100%=1746.16.
4. We know, that x% equals 256.88 of the output value, so we can write it down as x%=256.88.
5. Now we have two simple equations:
1) 100%=1746.16
2) x%=256.88
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%=1746.16/256.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 256.88 is what percent of 1746.16

100%/x%=1746.16/256.88
(100/x)*x=(1746.16/256.88)*x       - we multiply both sides of the equation by x
100=6.7975708502024*x       - we divide both sides of the equation by (6.7975708502024) to get x
100/6.7975708502024=x
14.711137581894=x
x=14.711137581894

now we have:
256.88 is 14.711137581894% of 1746.16