660.33 is what percent of 455.4 - 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 455.4 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 455.4, so we can write it down as 100%=455.4.
4. We know, that x% equals 660.33 of the output value, so we can write it down as x%=660.33.
5. Now we have two simple equations:
1) 100%=455.4
2) x%=660.33
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%=455.4/660.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 660.33 is what percent of 455.4

100%/x%=455.4/660.33
(100/x)*x=(455.4/660.33)*x       - we multiply both sides of the equation by x
100=0.68965517241379*x       - we divide both sides of the equation by (0.68965517241379) to get x
100/0.68965517241379=x
145=x
x=145

now we have:
660.33 is 145% of 455.4