44.46 is what percent of 4000 - 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 4000 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 4000, so we can write it down as 100%=4000.
4. We know, that x% equals 44.46 of the output value, so we can write it down as x%=44.46.
5. Now we have two simple equations:
1) 100%=4000
2) x%=44.46
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%=4000/44.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.46 is what percent of 4000

100%/x%=4000/44.46
(100/x)*x=(4000/44.46)*x       - we multiply both sides of the equation by x
100=89.968511021143*x       - we divide both sides of the equation by (89.968511021143) to get x
100/89.968511021143=x
1.1115=x
x=1.1115

now we have:
44.46 is 1.1115% of 4000