2.14 is what percent of 34.215 - 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 34.215 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 34.215, so we can write it down as 100%=34.215.
4. We know, that x% equals 2.14 of the output value, so we can write it down as x%=2.14.
5. Now we have two simple equations:
1) 100%=34.215
2) x%=2.14
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%=34.215/2.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.14 is what percent of 34.215

100%/x%=34.215/2.14
(100/x)*x=(34.215/2.14)*x       - we multiply both sides of the equation by x
100=15.988317757009*x       - we divide both sides of the equation by (15.988317757009) to get x
100/15.988317757009=x
6.2545667105071=x
x=6.2545667105071

now we have:
2.14 is 6.2545667105071% of 34.215