2.54 is what percent of 6886.64 - 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 6886.64 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 6886.64, so we can write it down as 100%=6886.64.
4. We know, that x% equals 2.54 of the output value, so we can write it down as x%=2.54.
5. Now we have two simple equations:
1) 100%=6886.64
2) x%=2.54
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%=6886.64/2.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.54 is what percent of 6886.64

100%/x%=6886.64/2.54
(100/x)*x=(6886.64/2.54)*x       - we multiply both sides of the equation by x
100=2711.2755905512*x       - we divide both sides of the equation by (2711.2755905512) to get x
100/2711.2755905512=x
0.036883008259471=x
x=0.036883008259471

now we have:
2.54 is 0.036883008259471% of 6886.64