493.8 is what percent of 10287.48 - 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 10287.48 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 10287.48, so we can write it down as 100%=10287.48.
4. We know, that x% equals 493.8 of the output value, so we can write it down as x%=493.8.
5. Now we have two simple equations:
1) 100%=10287.48
2) x%=493.8
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%=10287.48/493.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 493.8 is what percent of 10287.48

100%/x%=10287.48/493.8
(100/x)*x=(10287.48/493.8)*x       - we multiply both sides of the equation by x
100=20.833292831106*x       - we divide both sides of the equation by (20.833292831106) to get x
100/20.833292831106=x
4.8000093317314=x
x=4.8000093317314

now we have:
493.8 is 4.8000093317314% of 10287.48