What is 6.92 percent of 2.85 - 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 2.85 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 2.85 is 100%, so we can write it down as 2.85=100%.
4. We know, that x is 6.92% of the output value, so we can write it down as x=6.92%.
5. Now we have two simple equations:
1) 2.85=100%
2) x=6.92%
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:
2.85/x=100%/6.92%
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 6.92% of 2.85

2.85/x=100/6.92
(2.85/x)*x=(100/6.92)*x       - we multiply both sides of the equation by x
2.85=14.450867052023*x       - we divide both sides of the equation by (14.450867052023) to get x
2.85/14.450867052023=x
0.19722=x
x=0.19722

now we have:
6.92% of 2.85=0.19722