10.1 is what percent of 20.9 - 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 20.9 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 20.9, so we can write it down as 100%=20.9.
4. We know, that x% equals 10.1 of the output value, so we can write it down as x%=10.1.
5. Now we have two simple equations:
1) 100%=20.9
2) x%=10.1
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%=20.9/10.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.1 is what percent of 20.9

100%/x%=20.9/10.1
(100/x)*x=(20.9/10.1)*x       - we multiply both sides of the equation by x
100=2.0693069306931*x       - we divide both sides of the equation by (2.0693069306931) to get x
100/2.0693069306931=x
48.325358851675=x
x=48.325358851675

now we have:
10.1 is 48.325358851675% of 20.9