0.1 is what percent of 3.31 - 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 3.31 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 3.31, so we can write it down as 100%=3.31.
4. We know, that x% equals 0.1 of the output value, so we can write it down as x%=0.1.
5. Now we have two simple equations:
1) 100%=3.31
2) x%=0.1
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%=3.31/0.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.1 is what percent of 3.31

100%/x%=3.31/0.1
(100/x)*x=(3.31/0.1)*x       - we multiply both sides of the equation by x
100=33.1*x       - we divide both sides of the equation by (33.1) to get x
100/33.1=x
3.0211480362538=x
x=3.0211480362538

now we have:
0.1 is 3.0211480362538% of 3.31