60.44 is what percent of 96.89 - 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 96.89 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 96.89, so we can write it down as 100%=96.89.
4. We know, that x% equals 60.44 of the output value, so we can write it down as x%=60.44.
5. Now we have two simple equations:
1) 100%=96.89
2) x%=60.44
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%=96.89/60.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.44 is what percent of 96.89

100%/x%=96.89/60.44
(100/x)*x=(96.89/60.44)*x       - we multiply both sides of the equation by x
100=1.6030774321641*x       - we divide both sides of the equation by (1.6030774321641) to get x
100/1.6030774321641=x
62.380018577769=x
x=62.380018577769

now we have:
60.44 is 62.380018577769% of 96.89