20.06 is what percent of 100.28 - 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 100.28 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 100.28, so we can write it down as 100%=100.28.
4. We know, that x% equals 20.06 of the output value, so we can write it down as x%=20.06.
5. Now we have two simple equations:
1) 100%=100.28
2) x%=20.06
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%=100.28/20.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.06 is what percent of 100.28

100%/x%=100.28/20.06
(100/x)*x=(100.28/20.06)*x       - we multiply both sides of the equation by x
100=4.9990029910269*x       - we divide both sides of the equation by (4.9990029910269) to get x
100/4.9990029910269=x
20.003988831272=x
x=20.003988831272

now we have:
20.06 is 20.003988831272% of 100.28