4279.52 is what percent of 42004.62 - 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 42004.62 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 42004.62, so we can write it down as 100%=42004.62.
4. We know, that x% equals 4279.52 of the output value, so we can write it down as x%=4279.52.
5. Now we have two simple equations:
1) 100%=42004.62
2) x%=4279.52
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%=42004.62/4279.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4279.52 is what percent of 42004.62

100%/x%=42004.62/4279.52
(100/x)*x=(42004.62/4279.52)*x       - we multiply both sides of the equation by x
100=9.8152643287098*x       - we divide both sides of the equation by (9.8152643287098) to get x
100/9.8152643287098=x
10.188212629944=x
x=10.188212629944

now we have:
4279.52 is 10.188212629944% of 42004.62