What is 16.7 percent of 678.6 - 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 678.6 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 678.6 is 100%, so we can write it down as 678.6=100%.
4. We know, that x is 16.7% of the output value, so we can write it down as x=16.7%.
5. Now we have two simple equations:
1) 678.6=100%
2) x=16.7%
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:
678.6/x=100%/16.7%
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 16.7% of 678.6

678.6/x=100/16.7
(678.6/x)*x=(100/16.7)*x       - we multiply both sides of the equation by x
678.6=5.9880239520958*x       - we divide both sides of the equation by (5.9880239520958) to get x
678.6/5.9880239520958=x
113.3262=x
x=113.3262

now we have:
16.7% of 678.6=113.3262