What is 34.01 percent of 6.37 - 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 6.37 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 6.37 is 100%, so we can write it down as 6.37=100%.
4. We know, that x is 34.01% of the output value, so we can write it down as x=34.01%.
5. Now we have two simple equations:
1) 6.37=100%
2) x=34.01%
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:
6.37/x=100%/34.01%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 34.01% of 6.37

6.37/x=100/34.01
(6.37/x)*x=(100/34.01)*x       - we multiply both sides of the equation by x
6.37=2.9403116730373*x       - we divide both sides of the equation by (2.9403116730373) to get x
6.37/2.9403116730373=x
2.166437=x
x=2.166437

now we have:
34.01% of 6.37=2.166437