410.44 is what percent of 413.75 - 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 413.75 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 413.75, so we can write it down as 100%=413.75.
4. We know, that x% equals 410.44 of the output value, so we can write it down as x%=410.44.
5. Now we have two simple equations:
1) 100%=413.75
2) x%=410.44
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%=413.75/410.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 410.44 is what percent of 413.75

100%/x%=413.75/410.44
(100/x)*x=(413.75/410.44)*x       - we multiply both sides of the equation by x
100=1.008064516129*x       - we divide both sides of the equation by (1.008064516129) to get x
100/1.008064516129=x
99.2=x
x=99.2

now we have:
410.44 is 99.2% of 413.75