20.67 is what percent of 4448.89 - 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 4448.89 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 4448.89, so we can write it down as 100%=4448.89.
4. We know, that x% equals 20.67 of the output value, so we can write it down as x%=20.67.
5. Now we have two simple equations:
1) 100%=4448.89
2) x%=20.67
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%=4448.89/20.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.67 is what percent of 4448.89

100%/x%=4448.89/20.67
(100/x)*x=(4448.89/20.67)*x       - we multiply both sides of the equation by x
100=215.23415578133*x       - we divide both sides of the equation by (215.23415578133) to get x
100/215.23415578133=x
0.46461027357386=x
x=0.46461027357386

now we have:
20.67 is 0.46461027357386% of 4448.89