54 is what percent of 2386 - 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 2386 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 2386, so we can write it down as 100%=2386.
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%=2386
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%=2386/54
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 2386

100%/x%=2386/54
(100/x)*x=(2386/54)*x       - we multiply both sides of the equation by x
100=44.185185185185*x       - we divide both sides of the equation by (44.185185185185) to get x
100/44.185185185185=x
2.2632020117351=x
x=2.2632020117351

now we have:
54 is 2.2632020117351% of 2386