45 is what percent of 2655 - 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 2655 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 2655, so we can write it down as 100%=2655.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=2655
2) x%=45
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%=2655/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 2655

100%/x%=2655/45
(100/x)*x=(2655/45)*x       - we multiply both sides of the equation by x
100=59*x       - we divide both sides of the equation by (59) to get x
100/59=x
1.6949152542373=x
x=1.6949152542373

now we have:
45 is 1.6949152542373% of 2655