254.68 is what percent of 3918.08 - 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 3918.08 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 3918.08, so we can write it down as 100%=3918.08.
4. We know, that x% equals 254.68 of the output value, so we can write it down as x%=254.68.
5. Now we have two simple equations:
1) 100%=3918.08
2) x%=254.68
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%=3918.08/254.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.68 is what percent of 3918.08

100%/x%=3918.08/254.68
(100/x)*x=(3918.08/254.68)*x       - we multiply both sides of the equation by x
100=15.384325427988*x       - we divide both sides of the equation by (15.384325427988) to get x
100/15.384325427988=x
6.500122508984=x
x=6.500122508984

now we have:
254.68 is 6.500122508984% of 3918.08