2698.65 is what percent of 5805.22 - 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 5805.22 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 5805.22, so we can write it down as 100%=5805.22.
4. We know, that x% equals 2698.65 of the output value, so we can write it down as x%=2698.65.
5. Now we have two simple equations:
1) 100%=5805.22
2) x%=2698.65
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%=5805.22/2698.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2698.65 is what percent of 5805.22

100%/x%=5805.22/2698.65
(100/x)*x=(5805.22/2698.65)*x       - we multiply both sides of the equation by x
100=2.1511570600115*x       - we divide both sides of the equation by (2.1511570600115) to get x
100/2.1511570600115=x
46.486610326568=x
x=46.486610326568

now we have:
2698.65 is 46.486610326568% of 5805.22