96.3 is what percent of 3000 - 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 3000 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 3000, so we can write it down as 100%=3000.
4. We know, that x% equals 96.3 of the output value, so we can write it down as x%=96.3.
5. Now we have two simple equations:
1) 100%=3000
2) x%=96.3
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%=3000/96.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.3 is what percent of 3000

100%/x%=3000/96.3
(100/x)*x=(3000/96.3)*x       - we multiply both sides of the equation by x
100=31.152647975078*x       - we divide both sides of the equation by (31.152647975078) to get x
100/31.152647975078=x
3.21=x
x=3.21

now we have:
96.3 is 3.21% of 3000