1264.41 is what percent of 30000 - 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 30000 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 30000, so we can write it down as 100%=30000.
4. We know, that x% equals 1264.41 of the output value, so we can write it down as x%=1264.41.
5. Now we have two simple equations:
1) 100%=30000
2) x%=1264.41
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%=30000/1264.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1264.41 is what percent of 30000

100%/x%=30000/1264.41
(100/x)*x=(30000/1264.41)*x       - we multiply both sides of the equation by x
100=23.726481125584*x       - we divide both sides of the equation by (23.726481125584) to get x
100/23.726481125584=x
4.2147=x
x=4.2147

now we have:
1264.41 is 4.2147% of 30000