What is 36.363636363 percent of 12.636 - 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 12.636 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 12.636 is 100%, so we can write it down as 12.636=100%.
4. We know, that x is 36.363636363% of the output value, so we can write it down as x=36.363636363%.
5. Now we have two simple equations:
1) 12.636=100%
2) x=36.363636363%
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:
12.636/x=100%/36.363636363%
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 36.363636363% of 12.636

12.636/x=100/36.363636363
(12.636/x)*x=(100/36.363636363)*x       - we multiply both sides of the equation by x
12.636=2.7500000000481*x       - we divide both sides of the equation by (2.7500000000481) to get x
12.636/2.7500000000481=x
4.5949090908287=x
x=4.5949090908287

now we have:
36.363636363% of 12.636=4.5949090908287