65.13 is what percent of 450 - 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 450 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 450, so we can write it down as 100%=450.
4. We know, that x% equals 65.13 of the output value, so we can write it down as x%=65.13.
5. Now we have two simple equations:
1) 100%=450
2) x%=65.13
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%=450/65.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.13 is what percent of 450

100%/x%=450/65.13
(100/x)*x=(450/65.13)*x       - we multiply both sides of the equation by x
100=6.9092584062644*x       - we divide both sides of the equation by (6.9092584062644) to get x
100/6.9092584062644=x
14.473333333333=x
x=14.473333333333

now we have:
65.13 is 14.473333333333% of 450