What is 35.67 percent of 35.67 - 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 35.67 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 35.67 is 100%, so we can write it down as 35.67=100%.
4. We know, that x is 35.67% of the output value, so we can write it down as x=35.67%.
5. Now we have two simple equations:
1) 35.67=100%
2) x=35.67%
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:
35.67/x=100%/35.67%
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 35.67% of 35.67

35.67/x=100/35.67
(35.67/x)*x=(100/35.67)*x       - we multiply both sides of the equation by x
35.67=2.8034763106252*x       - we divide both sides of the equation by (2.8034763106252) to get x
35.67/2.8034763106252=x
12.723489=x
x=12.723489

now we have:
35.67% of 35.67=12.723489