What is 2.82 percent of 10.5 - 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 10.5 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 10.5 is 100%, so we can write it down as 10.5=100%.
4. We know, that x is 2.82% of the output value, so we can write it down as x=2.82%.
5. Now we have two simple equations:
1) 10.5=100%
2) x=2.82%
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:
10.5/x=100%/2.82%
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 2.82% of 10.5

10.5/x=100/2.82
(10.5/x)*x=(100/2.82)*x       - we multiply both sides of the equation by x
10.5=35.460992907801*x       - we divide both sides of the equation by (35.460992907801) to get x
10.5/35.460992907801=x
0.2961=x
x=0.2961

now we have:
2.82% of 10.5=0.2961