16.29 is what percent of 32.19 - 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 32.19 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 32.19, so we can write it down as 100%=32.19.
4. We know, that x% equals 16.29 of the output value, so we can write it down as x%=16.29.
5. Now we have two simple equations:
1) 100%=32.19
2) x%=16.29
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%=32.19/16.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.29 is what percent of 32.19

100%/x%=32.19/16.29
(100/x)*x=(32.19/16.29)*x       - we multiply both sides of the equation by x
100=1.97605893186*x       - we divide both sides of the equation by (1.97605893186) to get x
100/1.97605893186=x
50.605778191985=x
x=50.605778191985

now we have:
16.29 is 50.605778191985% of 32.19