What is 3.046 percent of 10.689 - 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 10.689 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 10.689 is 100%, so we can write it down as 10.689=100%.
4. We know, that x is 3.046% of the output value, so we can write it down as x=3.046%.
5. Now we have two simple equations:
1) 10.689=100%
2) x=3.046%
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:
10.689/x=100%/3.046%
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 3.046% of 10.689

10.689/x=100/3.046
(10.689/x)*x=(100/3.046)*x       - we multiply both sides of the equation by x
10.689=32.829940906106*x       - we divide both sides of the equation by (32.829940906106) to get x
10.689/32.829940906106=x
0.32558694=x
x=0.32558694

now we have:
3.046% of 10.689=0.32558694