522.4 is what percent of 982.8 - 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 982.8 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 982.8, so we can write it down as 100%=982.8.
4. We know, that x% equals 522.4 of the output value, so we can write it down as x%=522.4.
5. Now we have two simple equations:
1) 100%=982.8
2) x%=522.4
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%=982.8/522.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 522.4 is what percent of 982.8

100%/x%=982.8/522.4
(100/x)*x=(982.8/522.4)*x       - we multiply both sides of the equation by x
100=1.8813169984686*x       - we divide both sides of the equation by (1.8813169984686) to get x
100/1.8813169984686=x
53.154253154253=x
x=53.154253154253

now we have:
522.4 is 53.154253154253% of 982.8