4482.39 is what percent of 10378.37 - 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 10378.37 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 10378.37, so we can write it down as 100%=10378.37.
4. We know, that x% equals 4482.39 of the output value, so we can write it down as x%=4482.39.
5. Now we have two simple equations:
1) 100%=10378.37
2) x%=4482.39
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%=10378.37/4482.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4482.39 is what percent of 10378.37

100%/x%=10378.37/4482.39
(100/x)*x=(10378.37/4482.39)*x       - we multiply both sides of the equation by x
100=2.3153652404186*x       - we divide both sides of the equation by (2.3153652404186) to get x
100/2.3153652404186=x
43.189730179209=x
x=43.189730179209

now we have:
4482.39 is 43.189730179209% of 10378.37