54.3 is what percent of 269 - 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 269 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 269, so we can write it down as 100%=269.
4. We know, that x% equals 54.3 of the output value, so we can write it down as x%=54.3.
5. Now we have two simple equations:
1) 100%=269
2) x%=54.3
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%=269/54.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.3 is what percent of 269

100%/x%=269/54.3
(100/x)*x=(269/54.3)*x       - we multiply both sides of the equation by x
100=4.9539594843462*x       - we divide both sides of the equation by (4.9539594843462) to get x
100/4.9539594843462=x
20.185873605948=x
x=20.185873605948

now we have:
54.3 is 20.185873605948% of 269