946.07 is what percent of 5413.47 - 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 5413.47 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 5413.47, so we can write it down as 100%=5413.47.
4. We know, that x% equals 946.07 of the output value, so we can write it down as x%=946.07.
5. Now we have two simple equations:
1) 100%=5413.47
2) x%=946.07
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%=5413.47/946.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 946.07 is what percent of 5413.47

100%/x%=5413.47/946.07
(100/x)*x=(5413.47/946.07)*x       - we multiply both sides of the equation by x
100=5.7220607354635*x       - we divide both sides of the equation by (5.7220607354635) to get x
100/5.7220607354635=x
17.476221351555=x
x=17.476221351555

now we have:
946.07 is 17.476221351555% of 5413.47