413.76 is what percent of 475 - 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 475 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 475, so we can write it down as 100%=475.
4. We know, that x% equals 413.76 of the output value, so we can write it down as x%=413.76.
5. Now we have two simple equations:
1) 100%=475
2) x%=413.76
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%=475/413.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 413.76 is what percent of 475

100%/x%=475/413.76
(100/x)*x=(475/413.76)*x       - we multiply both sides of the equation by x
100=1.1480085073473*x       - we divide both sides of the equation by (1.1480085073473) to get x
100/1.1480085073473=x
87.107368421053=x
x=87.107368421053

now we have:
413.76 is 87.107368421053% of 475