3066.66 is what percent of 0.00254 - 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 0.00254 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 0.00254, so we can write it down as 100%=0.00254.
4. We know, that x% equals 3066.66 of the output value, so we can write it down as x%=3066.66.
5. Now we have two simple equations:
1) 100%=0.00254
2) x%=3066.66
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%=0.00254/3066.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3066.66 is what percent of 0.00254

100%/x%=0.00254/3066.66
(100/x)*x=(0.00254/3066.66)*x       - we multiply both sides of the equation by x
100=8.2826267013624E-7*x       - we divide both sides of the equation by (8.2826267013624E-7) to get x
100/8.2826267013624E-7=x
120734645.66929=x
x=120734645.66929

now we have:
3066.66 is 120734645.66929% of 0.00254