488.96 is what percent of 2838.8 - 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 2838.8 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 2838.8, so we can write it down as 100%=2838.8.
4. We know, that x% equals 488.96 of the output value, so we can write it down as x%=488.96.
5. Now we have two simple equations:
1) 100%=2838.8
2) x%=488.96
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%=2838.8/488.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 488.96 is what percent of 2838.8

100%/x%=2838.8/488.96
(100/x)*x=(2838.8/488.96)*x       - we multiply both sides of the equation by x
100=5.8057918848168*x       - we divide both sides of the equation by (5.8057918848168) to get x
100/5.8057918848168=x
17.224179230661=x
x=17.224179230661

now we have:
488.96 is 17.224179230661% of 2838.8