16.9 is what percent of 333.42 - 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 333.42 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 333.42, so we can write it down as 100%=333.42.
4. We know, that x% equals 16.9 of the output value, so we can write it down as x%=16.9.
5. Now we have two simple equations:
1) 100%=333.42
2) x%=16.9
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%=333.42/16.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.9 is what percent of 333.42

100%/x%=333.42/16.9
(100/x)*x=(333.42/16.9)*x       - we multiply both sides of the equation by x
100=19.72899408284*x       - we divide both sides of the equation by (19.72899408284) to get x
100/19.72899408284=x
5.0686821426429=x
x=5.0686821426429

now we have:
16.9 is 5.0686821426429% of 333.42