What is 34.9 percent of 29.25 - 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 29.25 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 29.25 is 100%, so we can write it down as 29.25=100%.
4. We know, that x is 34.9% of the output value, so we can write it down as x=34.9%.
5. Now we have two simple equations:
1) 29.25=100%
2) x=34.9%
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:
29.25/x=100%/34.9%
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 34.9% of 29.25

29.25/x=100/34.9
(29.25/x)*x=(100/34.9)*x       - we multiply both sides of the equation by x
29.25=2.865329512894*x       - we divide both sides of the equation by (2.865329512894) to get x
29.25/2.865329512894=x
10.20825=x
x=10.20825

now we have:
34.9% of 29.25=10.20825