20.2 is what percent of 47.05 - 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 47.05 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 47.05, so we can write it down as 100%=47.05.
4. We know, that x% equals 20.2 of the output value, so we can write it down as x%=20.2.
5. Now we have two simple equations:
1) 100%=47.05
2) x%=20.2
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%=47.05/20.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.2 is what percent of 47.05

100%/x%=47.05/20.2
(100/x)*x=(47.05/20.2)*x       - we multiply both sides of the equation by x
100=2.3292079207921*x       - we divide both sides of the equation by (2.3292079207921) to get x
100/2.3292079207921=x
42.933049946865=x
x=42.933049946865

now we have:
20.2 is 42.933049946865% of 47.05