6.74 is what percent of 16.73 - 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 16.73 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 100% equals 16.73, so we can write it down as 100%=16.73.
4. We know, that x% equals 6.74 of the output value, so we can write it down as x%=6.74.
5. Now we have two simple equations:
1) 100%=16.73
2) x%=6.74
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:
100%/x%=16.73/6.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.74 is what percent of 16.73

100%/x%=16.73/6.74
(100/x)*x=(16.73/6.74)*x       - we multiply both sides of the equation by x
100=2.4821958456973*x       - we divide both sides of the equation by (2.4821958456973) to get x
100/2.4821958456973=x
40.286909742977=x
x=40.286909742977

now we have:
6.74 is 40.286909742977% of 16.73