What is 3.666666666667 percent of 36 - 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 36 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 36 is 100%, so we can write it down as 36=100%.
4. We know, that x is 3.666666666667% of the output value, so we can write it down as x=3.666666666667%.
5. Now we have two simple equations:
1) 36=100%
2) x=3.666666666667%
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:
36/x=100%/3.666666666667%
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 3.666666666667% of 36

36/x=100/3.666666666667
(36/x)*x=(100/3.666666666667)*x       - we multiply both sides of the equation by x
36=27.272727272725*x       - we divide both sides of the equation by (27.272727272725) to get x
36/27.272727272725=x
1.3200000000001=x
x=1.3200000000001

now we have:
3.666666666667% of 36=1.3200000000001