44 is what percent of 4375 - 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 4375 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 4375, so we can write it down as 100%=4375.
4. We know, that x% equals 44 of the output value, so we can write it down as x%=44.
5. Now we have two simple equations:
1) 100%=4375
2) x%=44
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%=4375/44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44 is what percent of 4375

100%/x%=4375/44
(100/x)*x=(4375/44)*x       - we multiply both sides of the equation by x
100=99.431818181818*x       - we divide both sides of the equation by (99.431818181818) to get x
100/99.431818181818=x
1.0057142857143=x
x=1.0057142857143

now we have:
44 is 1.0057142857143% of 4375