45 is what percent of 655 - 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 655 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 655, so we can write it down as 100%=655.
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%=655
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%=655/45
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 655

100%/x%=655/45
(100/x)*x=(655/45)*x       - we multiply both sides of the equation by x
100=14.555555555556*x       - we divide both sides of the equation by (14.555555555556) to get x
100/14.555555555556=x
6.8702290076336=x
x=6.8702290076336

now we have:
45 is 6.8702290076336% of 655