442.43 is what percent of 3095.58 - 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 3095.58 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 3095.58, so we can write it down as 100%=3095.58.
4. We know, that x% equals 442.43 of the output value, so we can write it down as x%=442.43.
5. Now we have two simple equations:
1) 100%=3095.58
2) x%=442.43
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%=3095.58/442.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 442.43 is what percent of 3095.58

100%/x%=3095.58/442.43
(100/x)*x=(3095.58/442.43)*x       - we multiply both sides of the equation by x
100=6.9967678502814*x       - we divide both sides of the equation by (6.9967678502814) to get x
100/6.9967678502814=x
14.292313556749=x
x=14.292313556749

now we have:
442.43 is 14.292313556749% of 3095.58