0.8 is what percent of 254.6 - 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 254.6 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 254.6, so we can write it down as 100%=254.6.
4. We know, that x% equals 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=254.6
2) x%=0.8
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%=254.6/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 254.6

100%/x%=254.6/0.8
(100/x)*x=(254.6/0.8)*x       - we multiply both sides of the equation by x
100=318.25*x       - we divide both sides of the equation by (318.25) to get x
100/318.25=x
0.31421838177533=x
x=0.31421838177533

now we have:
0.8 is 0.31421838177533% of 254.6