What is 126.4 percent of 6.74 - 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 6.74 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 6.74 is 100%, so we can write it down as 6.74=100%.
4. We know, that x is 126.4% of the output value, so we can write it down as x=126.4%.
5. Now we have two simple equations:
1) 6.74=100%
2) x=126.4%
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:
6.74/x=100%/126.4%
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 126.4% of 6.74

6.74/x=100/126.4
(6.74/x)*x=(100/126.4)*x       - we multiply both sides of the equation by x
6.74=0.79113924050633*x       - we divide both sides of the equation by (0.79113924050633) to get x
6.74/0.79113924050633=x
8.51936=x
x=8.51936

now we have:
126.4% of 6.74=8.51936