54 is what percent of 1971 - 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 1971 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 1971, so we can write it down as 100%=1971.
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%=1971
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%=1971/54
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 1971

100%/x%=1971/54
(100/x)*x=(1971/54)*x       - we multiply both sides of the equation by x
100=36.5*x       - we divide both sides of the equation by (36.5) to get x
100/36.5=x
2.7397260273973=x
x=2.7397260273973

now we have:
54 is 2.7397260273973% of 1971