255.14 is what percent of 398 - 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 398 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 398, so we can write it down as 100%=398.
4. We know, that x% equals 255.14 of the output value, so we can write it down as x%=255.14.
5. Now we have two simple equations:
1) 100%=398
2) x%=255.14
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%=398/255.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.14 is what percent of 398

100%/x%=398/255.14
(100/x)*x=(398/255.14)*x       - we multiply both sides of the equation by x
100=1.559927882731*x       - we divide both sides of the equation by (1.559927882731) to get x
100/1.559927882731=x
64.105527638191=x
x=64.105527638191

now we have:
255.14 is 64.105527638191% of 398