30.975 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 30.975 of the output value, so we can write it down as x%=30.975.
5. Now we have two simple equations:
1) 100%=2
2) x%=30.975
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%=2/30.975
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.975 is what percent of 2

100%/x%=2/30.975
(100/x)*x=(2/30.975)*x       - we multiply both sides of the equation by x
100=0.06456820016142*x       - we divide both sides of the equation by (0.06456820016142) to get x
100/0.06456820016142=x
1548.75=x
x=1548.75

now we have:
30.975 is 1548.75% of 2