20.97 is what percent of 38.99 - 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 38.99 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 38.99, so we can write it down as 100%=38.99.
4. We know, that x% equals 20.97 of the output value, so we can write it down as x%=20.97.
5. Now we have two simple equations:
1) 100%=38.99
2) x%=20.97
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%=38.99/20.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.97 is what percent of 38.99

100%/x%=38.99/20.97
(100/x)*x=(38.99/20.97)*x       - we multiply both sides of the equation by x
100=1.8593228421555*x       - we divide both sides of the equation by (1.8593228421555) to get x
100/1.8593228421555=x
53.78302128751=x
x=53.78302128751

now we have:
20.97 is 53.78302128751% of 38.99