96.32 is what percent of 145.68 - 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 145.68 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 145.68, so we can write it down as 100%=145.68.
4. We know, that x% equals 96.32 of the output value, so we can write it down as x%=96.32.
5. Now we have two simple equations:
1) 100%=145.68
2) x%=96.32
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%=145.68/96.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.32 is what percent of 145.68

100%/x%=145.68/96.32
(100/x)*x=(145.68/96.32)*x       - we multiply both sides of the equation by x
100=1.5124584717608*x       - we divide both sides of the equation by (1.5124584717608) to get x
100/1.5124584717608=x
66.117517847337=x
x=66.117517847337

now we have:
96.32 is 66.117517847337% of 145.68