46.82 is what percent of 2427.49 - 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 2427.49 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 2427.49, so we can write it down as 100%=2427.49.
4. We know, that x% equals 46.82 of the output value, so we can write it down as x%=46.82.
5. Now we have two simple equations:
1) 100%=2427.49
2) x%=46.82
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%=2427.49/46.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.82 is what percent of 2427.49

100%/x%=2427.49/46.82
(100/x)*x=(2427.49/46.82)*x       - we multiply both sides of the equation by x
100=51.847287483981*x       - we divide both sides of the equation by (51.847287483981) to get x
100/51.847287483981=x
1.9287412100565=x
x=1.9287412100565

now we have:
46.82 is 1.9287412100565% of 2427.49