What is 52.5 percent of 16.6 - 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 16.6 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 16.6 is 100%, so we can write it down as 16.6=100%.
4. We know, that x is 52.5% of the output value, so we can write it down as x=52.5%.
5. Now we have two simple equations:
1) 16.6=100%
2) x=52.5%
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:
16.6/x=100%/52.5%
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 52.5% of 16.6

16.6/x=100/52.5
(16.6/x)*x=(100/52.5)*x       - we multiply both sides of the equation by x
16.6=1.90476190476*x       - we divide both sides of the equation by (1.90476190476) to get x
16.6/1.90476190476=x
8.715=x
x=8.715

now we have:
52.5% of 16.6=8.715