482.4 is what percent of 892 - 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 892 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 892, so we can write it down as 100%=892.
4. We know, that x% equals 482.4 of the output value, so we can write it down as x%=482.4.
5. Now we have two simple equations:
1) 100%=892
2) x%=482.4
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%=892/482.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 482.4 is what percent of 892

100%/x%=892/482.4
(100/x)*x=(892/482.4)*x       - we multiply both sides of the equation by x
100=1.849087893864*x       - we divide both sides of the equation by (1.849087893864) to get x
100/1.849087893864=x
54.080717488789=x
x=54.080717488789

now we have:
482.4 is 54.080717488789% of 892