16.2 is what percent of 819 - 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 819 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 819, so we can write it down as 100%=819.
4. We know, that x% equals 16.2 of the output value, so we can write it down as x%=16.2.
5. Now we have two simple equations:
1) 100%=819
2) x%=16.2
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%=819/16.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.2 is what percent of 819

100%/x%=819/16.2
(100/x)*x=(819/16.2)*x       - we multiply both sides of the equation by x
100=50.555555555556*x       - we divide both sides of the equation by (50.555555555556) to get x
100/50.555555555556=x
1.978021978022=x
x=1.978021978022

now we have:
16.2 is 1.978021978022% of 819