424.15 is what percent of 4241.49 - 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 4241.49 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 4241.49, so we can write it down as 100%=4241.49.
4. We know, that x% equals 424.15 of the output value, so we can write it down as x%=424.15.
5. Now we have two simple equations:
1) 100%=4241.49
2) x%=424.15
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%=4241.49/424.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 424.15 is what percent of 4241.49

100%/x%=4241.49/424.15
(100/x)*x=(4241.49/424.15)*x       - we multiply both sides of the equation by x
100=9.9999764234351*x       - we divide both sides of the equation by (9.9999764234351) to get x
100/9.9999764234351=x
10.00002357662=x
x=10.00002357662

now we have:
424.15 is 10.00002357662% of 4241.49