0.49 is what percent of 22.01 - 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 22.01 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 22.01, so we can write it down as 100%=22.01.
4. We know, that x% equals 0.49 of the output value, so we can write it down as x%=0.49.
5. Now we have two simple equations:
1) 100%=22.01
2) x%=0.49
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%=22.01/0.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.49 is what percent of 22.01

100%/x%=22.01/0.49
(100/x)*x=(22.01/0.49)*x       - we multiply both sides of the equation by x
100=44.918367346939*x       - we divide both sides of the equation by (44.918367346939) to get x
100/44.918367346939=x
2.2262607905498=x
x=2.2262607905498

now we have:
0.49 is 2.2262607905498% of 22.01