96.5 is what percent of 150.73 - 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 150.73 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 150.73, so we can write it down as 100%=150.73.
4. We know, that x% equals 96.5 of the output value, so we can write it down as x%=96.5.
5. Now we have two simple equations:
1) 100%=150.73
2) x%=96.5
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%=150.73/96.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.5 is what percent of 150.73

100%/x%=150.73/96.5
(100/x)*x=(150.73/96.5)*x       - we multiply both sides of the equation by x
100=1.5619689119171*x       - we divide both sides of the equation by (1.5619689119171) to get x
100/1.5619689119171=x
64.021760764281=x
x=64.021760764281

now we have:
96.5 is 64.021760764281% of 150.73