What is 4440 percent of 0.045 - 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 0.045 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 0.045 is 100%, so we can write it down as 0.045=100%.
4. We know, that x is 4440% of the output value, so we can write it down as x=4440%.
5. Now we have two simple equations:
1) 0.045=100%
2) x=4440%
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:
0.045/x=100%/4440%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 4440% of 0.045

0.045/x=100/4440
(0.045/x)*x=(100/4440)*x       - we multiply both sides of the equation by x
0.045=0.022522522522523*x       - we divide both sides of the equation by (0.022522522522523) to get x
0.045/0.022522522522523=x
1.998=x
x=1.998

now we have:
4440% of 0.045=1.998