184.5 is what percent of 156 - 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 156 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 156, so we can write it down as 100%=156.
4. We know, that x% equals 184.5 of the output value, so we can write it down as x%=184.5.
5. Now we have two simple equations:
1) 100%=156
2) x%=184.5
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%=156/184.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 184.5 is what percent of 156

100%/x%=156/184.5
(100/x)*x=(156/184.5)*x       - we multiply both sides of the equation by x
100=0.84552845528455*x       - we divide both sides of the equation by (0.84552845528455) to get x
100/0.84552845528455=x
118.26923076923=x
x=118.26923076923

now we have:
184.5 is 118.26923076923% of 156