256.2 is what percent of 5675 - 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 5675 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 5675, so we can write it down as 100%=5675.
4. We know, that x% equals 256.2 of the output value, so we can write it down as x%=256.2.
5. Now we have two simple equations:
1) 100%=5675
2) x%=256.2
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%=5675/256.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 256.2 is what percent of 5675

100%/x%=5675/256.2
(100/x)*x=(5675/256.2)*x       - we multiply both sides of the equation by x
100=22.150663544106*x       - we divide both sides of the equation by (22.150663544106) to get x
100/22.150663544106=x
4.5145374449339=x
x=4.5145374449339

now we have:
256.2 is 4.5145374449339% of 5675