482.63 is what percent of 8493.75 - 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 8493.75 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 8493.75, so we can write it down as 100%=8493.75.
4. We know, that x% equals 482.63 of the output value, so we can write it down as x%=482.63.
5. Now we have two simple equations:
1) 100%=8493.75
2) x%=482.63
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%=8493.75/482.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.63 is what percent of 8493.75

100%/x%=8493.75/482.63
(100/x)*x=(8493.75/482.63)*x       - we multiply both sides of the equation by x
100=17.598885274434*x       - we divide both sides of the equation by (17.598885274434) to get x
100/17.598885274434=x
5.6821780721118=x
x=5.6821780721118

now we have:
482.63 is 5.6821780721118% of 8493.75