16.8 is what percent of 345.24 - 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 345.24 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 345.24, so we can write it down as 100%=345.24.
4. We know, that x% equals 16.8 of the output value, so we can write it down as x%=16.8.
5. Now we have two simple equations:
1) 100%=345.24
2) x%=16.8
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:
100%/x%=345.24/16.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.8 is what percent of 345.24

100%/x%=345.24/16.8
(100/x)*x=(345.24/16.8)*x       - we multiply both sides of the equation by x
100=20.55*x       - we divide both sides of the equation by (20.55) to get x
100/20.55=x
4.8661800486618=x
x=4.8661800486618

now we have:
16.8 is 4.8661800486618% of 345.24