0.034 is what percent of 0.101 - 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 0.101 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 0.101, so we can write it down as 100%=0.101.
4. We know, that x% equals 0.034 of the output value, so we can write it down as x%=0.034.
5. Now we have two simple equations:
1) 100%=0.101
2) x%=0.034
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%=0.101/0.034
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.034 is what percent of 0.101

100%/x%=0.101/0.034
(100/x)*x=(0.101/0.034)*x       - we multiply both sides of the equation by x
100=2.9705882352941*x       - we divide both sides of the equation by (2.9705882352941) to get x
100/2.9705882352941=x
33.663366336634=x
x=33.663366336634

now we have:
0.034 is 33.663366336634% of 0.101