0.39 is what percent of 6.34 - 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 6.34 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 6.34, so we can write it down as 100%=6.34.
4. We know, that x% equals 0.39 of the output value, so we can write it down as x%=0.39.
5. Now we have two simple equations:
1) 100%=6.34
2) x%=0.39
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%=6.34/0.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.39 is what percent of 6.34

100%/x%=6.34/0.39
(100/x)*x=(6.34/0.39)*x       - we multiply both sides of the equation by x
100=16.25641025641*x       - we divide both sides of the equation by (16.25641025641) to get x
100/16.25641025641=x
6.1514195583596=x
x=6.1514195583596

now we have:
0.39 is 6.1514195583596% of 6.34