488.8 is what percent of 2692.31 - 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 2692.31 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 2692.31, so we can write it down as 100%=2692.31.
4. We know, that x% equals 488.8 of the output value, so we can write it down as x%=488.8.
5. Now we have two simple equations:
1) 100%=2692.31
2) x%=488.8
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%=2692.31/488.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 488.8 is what percent of 2692.31

100%/x%=2692.31/488.8
(100/x)*x=(2692.31/488.8)*x       - we multiply both sides of the equation by x
100=5.5079991816694*x       - we divide both sides of the equation by (5.5079991816694) to get x
100/5.5079991816694=x
18.155413009646=x
x=18.155413009646

now we have:
488.8 is 18.155413009646% of 2692.31