16.9 is what percent of 350.32 - 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 350.32 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 350.32, so we can write it down as 100%=350.32.
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%=350.32
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%=350.32/16.9
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 350.32

100%/x%=350.32/16.9
(100/x)*x=(350.32/16.9)*x       - we multiply both sides of the equation by x
100=20.72899408284*x       - we divide both sides of the equation by (20.72899408284) to get x
100/20.72899408284=x
4.8241607672985=x
x=4.8241607672985

now we have:
16.9 is 4.8241607672985% of 350.32