144.24 is what percent of 184.86 - 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 184.86 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 184.86, so we can write it down as 100%=184.86.
4. We know, that x% equals 144.24 of the output value, so we can write it down as x%=144.24.
5. Now we have two simple equations:
1) 100%=184.86
2) x%=144.24
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%=184.86/144.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.24 is what percent of 184.86

100%/x%=184.86/144.24
(100/x)*x=(184.86/144.24)*x       - we multiply both sides of the equation by x
100=1.2816139767055*x       - we divide both sides of the equation by (1.2816139767055) to get x
100/1.2816139767055=x
78.026614735475=x
x=78.026614735475

now we have:
144.24 is 78.026614735475% of 184.86