47.44 is what percent of 442.8 - 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 442.8 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 442.8, so we can write it down as 100%=442.8.
4. We know, that x% equals 47.44 of the output value, so we can write it down as x%=47.44.
5. Now we have two simple equations:
1) 100%=442.8
2) x%=47.44
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%=442.8/47.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.44 is what percent of 442.8

100%/x%=442.8/47.44
(100/x)*x=(442.8/47.44)*x       - we multiply both sides of the equation by x
100=9.3338954468803*x       - we divide both sides of the equation by (9.3338954468803) to get x
100/9.3338954468803=x
10.713640469738=x
x=10.713640469738

now we have:
47.44 is 10.713640469738% of 442.8