0.6 is what percent of 16.75 - 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 16.75 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 16.75, so we can write it down as 100%=16.75.
4. We know, that x% equals 0.6 of the output value, so we can write it down as x%=0.6.
5. Now we have two simple equations:
1) 100%=16.75
2) x%=0.6
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%=16.75/0.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.6 is what percent of 16.75

100%/x%=16.75/0.6
(100/x)*x=(16.75/0.6)*x       - we multiply both sides of the equation by x
100=27.916666666667*x       - we divide both sides of the equation by (27.916666666667) to get x
100/27.916666666667=x
3.5820895522388=x
x=3.5820895522388

now we have:
0.6 is 3.5820895522388% of 16.75