96 is what percent of 156.3 - 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 156.3 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 156.3, so we can write it down as 100%=156.3.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=156.3
2) x%=96
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%=156.3/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 156.3

100%/x%=156.3/96
(100/x)*x=(156.3/96)*x       - we multiply both sides of the equation by x
100=1.628125*x       - we divide both sides of the equation by (1.628125) to get x
100/1.628125=x
61.420345489443=x
x=61.420345489443

now we have:
96 is 61.420345489443% of 156.3