255.89 is what percent of 4237.21 - 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 4237.21 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 4237.21, so we can write it down as 100%=4237.21.
4. We know, that x% equals 255.89 of the output value, so we can write it down as x%=255.89.
5. Now we have two simple equations:
1) 100%=4237.21
2) x%=255.89
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%=4237.21/255.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.89 is what percent of 4237.21

100%/x%=4237.21/255.89
(100/x)*x=(4237.21/255.89)*x       - we multiply both sides of the equation by x
100=16.558716636055*x       - we divide both sides of the equation by (16.558716636055) to get x
100/16.558716636055=x
6.0391153612873=x
x=6.0391153612873

now we have:
255.89 is 6.0391153612873% of 4237.21