What is 29.25 percent of 36.79 - 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 36.79 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 36.79 is 100%, so we can write it down as 36.79=100%.
4. We know, that x is 29.25% of the output value, so we can write it down as x=29.25%.
5. Now we have two simple equations:
1) 36.79=100%
2) x=29.25%
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:
36.79/x=100%/29.25%
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 29.25% of 36.79

36.79/x=100/29.25
(36.79/x)*x=(100/29.25)*x       - we multiply both sides of the equation by x
36.79=3.4188034188034*x       - we divide both sides of the equation by (3.4188034188034) to get x
36.79/3.4188034188034=x
10.761075=x
x=10.761075

now we have:
29.25% of 36.79=10.761075