What is 0.4166 percent of 6.86 - 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 6.86 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 6.86 is 100%, so we can write it down as 6.86=100%.
4. We know, that x is 0.4166% of the output value, so we can write it down as x=0.4166%.
5. Now we have two simple equations:
1) 6.86=100%
2) x=0.4166%
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:
6.86/x=100%/0.4166%
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 0.4166% of 6.86

6.86/x=100/0.4166
(6.86/x)*x=(100/0.4166)*x       - we multiply both sides of the equation by x
6.86=240.03840614498*x       - we divide both sides of the equation by (240.03840614498) to get x
6.86/240.03840614498=x
0.02857876=x
x=0.02857876

now we have:
0.4166% of 6.86=0.02857876