What is 10.85 percent of 35.75 - 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 35.75 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 35.75 is 100%, so we can write it down as 35.75=100%.
4. We know, that x is 10.85% of the output value, so we can write it down as x=10.85%.
5. Now we have two simple equations:
1) 35.75=100%
2) x=10.85%
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:
35.75/x=100%/10.85%
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 10.85% of 35.75

35.75/x=100/10.85
(35.75/x)*x=(100/10.85)*x       - we multiply both sides of the equation by x
35.75=9.2165898617512*x       - we divide both sides of the equation by (9.2165898617512) to get x
35.75/9.2165898617512=x
3.878875=x
x=3.878875

now we have:
10.85% of 35.75=3.878875