16.8 is what percent of 213.8 - 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 213.8 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 213.8, so we can write it down as 100%=213.8.
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%=213.8
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%=213.8/16.8
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 213.8

100%/x%=213.8/16.8
(100/x)*x=(213.8/16.8)*x       - we multiply both sides of the equation by x
100=12.72619047619*x       - we divide both sides of the equation by (12.72619047619) to get x
100/12.72619047619=x
7.8578110383536=x
x=7.8578110383536

now we have:
16.8 is 7.8578110383536% of 213.8