42.65 is what percent of 4443 - 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 4443 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 4443, so we can write it down as 100%=4443.
4. We know, that x% equals 42.65 of the output value, so we can write it down as x%=42.65.
5. Now we have two simple equations:
1) 100%=4443
2) x%=42.65
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%=4443/42.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.65 is what percent of 4443

100%/x%=4443/42.65
(100/x)*x=(4443/42.65)*x       - we multiply both sides of the equation by x
100=104.1735052755*x       - we divide both sides of the equation by (104.1735052755) to get x
100/104.1735052755=x
0.95993697951834=x
x=0.95993697951834

now we have:
42.65 is 0.95993697951834% of 4443