What is 38.07 percent of 29.05 - 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 29.05 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 29.05 is 100%, so we can write it down as 29.05=100%.
4. We know, that x is 38.07% of the output value, so we can write it down as x=38.07%.
5. Now we have two simple equations:
1) 29.05=100%
2) x=38.07%
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:
29.05/x=100%/38.07%
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 38.07% of 29.05

29.05/x=100/38.07
(29.05/x)*x=(100/38.07)*x       - we multiply both sides of the equation by x
29.05=2.6267402153927*x       - we divide both sides of the equation by (2.6267402153927) to get x
29.05/2.6267402153927=x
11.059335=x
x=11.059335

now we have:
38.07% of 29.05=11.059335