20.05 is what percent of 32.96 - 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 32.96 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 32.96, so we can write it down as 100%=32.96.
4. We know, that x% equals 20.05 of the output value, so we can write it down as x%=20.05.
5. Now we have two simple equations:
1) 100%=32.96
2) x%=20.05
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%=32.96/20.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.05 is what percent of 32.96

100%/x%=32.96/20.05
(100/x)*x=(32.96/20.05)*x       - we multiply both sides of the equation by x
100=1.6438902743142*x       - we divide both sides of the equation by (1.6438902743142) to get x
100/1.6438902743142=x
60.831310679612=x
x=60.831310679612

now we have:
20.05 is 60.831310679612% of 32.96