What is 61.8 percent of 16 - 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 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 is 100%, so we can write it down as 16=100%.
4. We know, that x is 61.8% of the output value, so we can write it down as x=61.8%.
5. Now we have two simple equations:
1) 16=100%
2) x=61.8%
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:
16/x=100%/61.8%
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 61.8% of 16

16/x=100/61.8
(16/x)*x=(100/61.8)*x       - we multiply both sides of the equation by x
16=1.6181229773463*x       - we divide both sides of the equation by (1.6181229773463) to get x
16/1.6181229773463=x
9.888=x
x=9.888

now we have:
61.8% of 16=9.888