What is 2.652 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 2.652% of the output value, so we can write it down as x=2.652%.
5. Now we have two simple equations:
1) 2.85=100%
2) x=2.652%
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%/2.652%
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 2.652% of 2.85

2.85/x=100/2.652
(2.85/x)*x=(100/2.652)*x       - we multiply both sides of the equation by x
2.85=37.707390648567*x       - we divide both sides of the equation by (37.707390648567) to get x
2.85/37.707390648567=x
0.075582=x
x=0.075582

now we have:
2.652% of 2.85=0.075582