What is 28.64 percent of 35 - 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 35 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 35 is 100%, so we can write it down as 35=100%.
4. We know, that x is 28.64% of the output value, so we can write it down as x=28.64%.
5. Now we have two simple equations:
1) 35=100%
2) x=28.64%
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:
35/x=100%/28.64%
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 28.64% of 35

35/x=100/28.64
(35/x)*x=(100/28.64)*x       - we multiply both sides of the equation by x
35=3.4916201117318*x       - we divide both sides of the equation by (3.4916201117318) to get x
35/3.4916201117318=x
10.024=x
x=10.024

now we have:
28.64% of 35=10.024