54 is what percent of 1365 - 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 1365 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 1365, so we can write it down as 100%=1365.
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%=1365
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%=1365/54
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 1365

100%/x%=1365/54
(100/x)*x=(1365/54)*x       - we multiply both sides of the equation by x
100=25.277777777778*x       - we divide both sides of the equation by (25.277777777778) to get x
100/25.277777777778=x
3.956043956044=x
x=3.956043956044

now we have:
54 is 3.956043956044% of 1365