What is 6.656 percent of 3 - 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 3 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 3 is 100%, so we can write it down as 3=100%.
4. We know, that x is 6.656% of the output value, so we can write it down as x=6.656%.
5. Now we have two simple equations:
1) 3=100%
2) x=6.656%
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:
3/x=100%/6.656%
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 6.656% of 3

3/x=100/6.656
(3/x)*x=(100/6.656)*x       - we multiply both sides of the equation by x
3=15.024038461538*x       - we divide both sides of the equation by (15.024038461538) to get x
3/15.024038461538=x
0.19968=x
x=0.19968

now we have:
6.656% of 3=0.19968