2.11 is what percent of 44.38 - 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 44.38 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 44.38, so we can write it down as 100%=44.38.
4. We know, that x% equals 2.11 of the output value, so we can write it down as x%=2.11.
5. Now we have two simple equations:
1) 100%=44.38
2) x%=2.11
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%=44.38/2.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.11 is what percent of 44.38

100%/x%=44.38/2.11
(100/x)*x=(44.38/2.11)*x       - we multiply both sides of the equation by x
100=21.03317535545*x       - we divide both sides of the equation by (21.03317535545) to get x
100/21.03317535545=x
4.7543938711131=x
x=4.7543938711131

now we have:
2.11 is 4.7543938711131% of 44.38