476.67 is what percent of 7744.17 - 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 7744.17 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 7744.17, so we can write it down as 100%=7744.17.
4. We know, that x% equals 476.67 of the output value, so we can write it down as x%=476.67.
5. Now we have two simple equations:
1) 100%=7744.17
2) x%=476.67
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%=7744.17/476.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 476.67 is what percent of 7744.17

100%/x%=7744.17/476.67
(100/x)*x=(7744.17/476.67)*x       - we multiply both sides of the equation by x
100=16.246396878344*x       - we divide both sides of the equation by (16.246396878344) to get x
100/16.246396878344=x
6.1552109522389=x
x=6.1552109522389

now we have:
476.67 is 6.1552109522389% of 7744.17