What is 28.62 percent of 36.8 - 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 36.8 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 36.8 is 100%, so we can write it down as 36.8=100%.
4. We know, that x is 28.62% of the output value, so we can write it down as x=28.62%.
5. Now we have two simple equations:
1) 36.8=100%
2) x=28.62%
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:
36.8/x=100%/28.62%
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 28.62% of 36.8

36.8/x=100/28.62
(36.8/x)*x=(100/28.62)*x       - we multiply both sides of the equation by x
36.8=3.4940600978337*x       - we divide both sides of the equation by (3.4940600978337) to get x
36.8/3.4940600978337=x
10.53216=x
x=10.53216

now we have:
28.62% of 36.8=10.53216