0.03 is what percent of 31.08 - 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 31.08 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 31.08, so we can write it down as 100%=31.08.
4. We know, that x% equals 0.03 of the output value, so we can write it down as x%=0.03.
5. Now we have two simple equations:
1) 100%=31.08
2) x%=0.03
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%=31.08/0.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.03 is what percent of 31.08

100%/x%=31.08/0.03
(100/x)*x=(31.08/0.03)*x       - we multiply both sides of the equation by x
100=1036*x       - we divide both sides of the equation by (1036) to get x
100/1036=x
0.096525096525097=x
x=0.096525096525097

now we have:
0.03 is 0.096525096525097% of 31.08