What is 12.756 percent of 6.794 - 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 6.794 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 6.794 is 100%, so we can write it down as 6.794=100%.
4. We know, that x is 12.756% of the output value, so we can write it down as x=12.756%.
5. Now we have two simple equations:
1) 6.794=100%
2) x=12.756%
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:
6.794/x=100%/12.756%
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 12.756% of 6.794

6.794/x=100/12.756
(6.794/x)*x=(100/12.756)*x       - we multiply both sides of the equation by x
6.794=7.8394481028536*x       - we divide both sides of the equation by (7.8394481028536) to get x
6.794/7.8394481028536=x
0.86664264=x
x=0.86664264

now we have:
12.756% of 6.794=0.86664264