4.82 is what percent of 416.9 - 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 416.9 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 416.9, so we can write it down as 100%=416.9.
4. We know, that x% equals 4.82 of the output value, so we can write it down as x%=4.82.
5. Now we have two simple equations:
1) 100%=416.9
2) x%=4.82
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%=416.9/4.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.82 is what percent of 416.9

100%/x%=416.9/4.82
(100/x)*x=(416.9/4.82)*x       - we multiply both sides of the equation by x
100=86.49377593361*x       - we divide both sides of the equation by (86.49377593361) to get x
100/86.49377593361=x
1.1561525545694=x
x=1.1561525545694

now we have:
4.82 is 1.1561525545694% of 416.9