What is 16.8 percent of 2.52 - 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 2.52 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 2.52 is 100%, so we can write it down as 2.52=100%.
4. We know, that x is 16.8% of the output value, so we can write it down as x=16.8%.
5. Now we have two simple equations:
1) 2.52=100%
2) x=16.8%
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:
2.52/x=100%/16.8%
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 16.8% of 2.52

2.52/x=100/16.8
(2.52/x)*x=(100/16.8)*x       - we multiply both sides of the equation by x
2.52=5.952380952381*x       - we divide both sides of the equation by (5.952380952381) to get x
2.52/5.952380952381=x
0.42336=x
x=0.42336

now we have:
16.8% of 2.52=0.42336