54.8 is what percent of 322.54 - 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 322.54 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 322.54, so we can write it down as 100%=322.54.
4. We know, that x% equals 54.8 of the output value, so we can write it down as x%=54.8.
5. Now we have two simple equations:
1) 100%=322.54
2) x%=54.8
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%=322.54/54.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.8 is what percent of 322.54

100%/x%=322.54/54.8
(100/x)*x=(322.54/54.8)*x       - we multiply both sides of the equation by x
100=5.8857664233577*x       - we divide both sides of the equation by (5.8857664233577) to get x
100/5.8857664233577=x
16.990140757735=x
x=16.990140757735

now we have:
54.8 is 16.990140757735% of 322.54