76.48 is what percent of 455 - 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 455 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 455, so we can write it down as 100%=455.
4. We know, that x% equals 76.48 of the output value, so we can write it down as x%=76.48.
5. Now we have two simple equations:
1) 100%=455
2) x%=76.48
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%=455/76.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.48 is what percent of 455

100%/x%=455/76.48
(100/x)*x=(455/76.48)*x       - we multiply both sides of the equation by x
100=5.9492677824268*x       - we divide both sides of the equation by (5.9492677824268) to get x
100/5.9492677824268=x
16.808791208791=x
x=16.808791208791

now we have:
76.48 is 16.808791208791% of 455