What is 34.28 percent of 105 - 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 105 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 105 is 100%, so we can write it down as 105=100%.
4. We know, that x is 34.28% of the output value, so we can write it down as x=34.28%.
5. Now we have two simple equations:
1) 105=100%
2) x=34.28%
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:
105/x=100%/34.28%
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 34.28% of 105

105/x=100/34.28
(105/x)*x=(100/34.28)*x       - we multiply both sides of the equation by x
105=2.9171528588098*x       - we divide both sides of the equation by (2.9171528588098) to get x
105/2.9171528588098=x
35.994=x
x=35.994

now we have:
34.28% of 105=35.994