54 is what percent of 102400 - 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 102400 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 102400, so we can write it down as 100%=102400.
4. We know, that x% equals 54 of the output value, so we can write it down as x%=54.
5. Now we have two simple equations:
1) 100%=102400
2) x%=54
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%=102400/54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54 is what percent of 102400

100%/x%=102400/54
(100/x)*x=(102400/54)*x       - we multiply both sides of the equation by x
100=1896.2962963*x       - we divide both sides of the equation by (1896.2962963) to get x
100/1896.2962963=x
0.052734375=x
x=0.052734375

now we have:
54 is 0.052734375% of 102400