32.9 is what percent of 162.03 - 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 162.03 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 162.03, so we can write it down as 100%=162.03.
4. We know, that x% equals 32.9 of the output value, so we can write it down as x%=32.9.
5. Now we have two simple equations:
1) 100%=162.03
2) x%=32.9
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%=162.03/32.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.9 is what percent of 162.03

100%/x%=162.03/32.9
(100/x)*x=(162.03/32.9)*x       - we multiply both sides of the equation by x
100=4.9249240121581*x       - we divide both sides of the equation by (4.9249240121581) to get x
100/4.9249240121581=x
20.30488181201=x
x=20.30488181201

now we have:
32.9 is 20.30488181201% of 162.03