2802.77 is what percent of 42330.77 - 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 42330.77 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 42330.77, so we can write it down as 100%=42330.77.
4. We know, that x% equals 2802.77 of the output value, so we can write it down as x%=2802.77.
5. Now we have two simple equations:
1) 100%=42330.77
2) x%=2802.77
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%=42330.77/2802.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2802.77 is what percent of 42330.77

100%/x%=42330.77/2802.77
(100/x)*x=(42330.77/2802.77)*x       - we multiply both sides of the equation by x
100=15.103190771986*x       - we divide both sides of the equation by (15.103190771986) to get x
100/15.103190771986=x
6.621117451915=x
x=6.621117451915

now we have:
2802.77 is 6.621117451915% of 42330.77