What is 36.67 percent of 35 - 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 35 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 35 is 100%, so we can write it down as 35=100%.
4. We know, that x is 36.67% of the output value, so we can write it down as x=36.67%.
5. Now we have two simple equations:
1) 35=100%
2) x=36.67%
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:
35/x=100%/36.67%
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 36.67% of 35

35/x=100/36.67
(35/x)*x=(100/36.67)*x       - we multiply both sides of the equation by x
35=2.7270248159258*x       - we divide both sides of the equation by (2.7270248159258) to get x
35/2.7270248159258=x
12.8345=x
x=12.8345

now we have:
36.67% of 35=12.8345