30 is what percent of 7616 - 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 7616 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 7616, so we can write it down as 100%=7616.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=7616
2) x%=30
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%=7616/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 7616

100%/x%=7616/30
(100/x)*x=(7616/30)*x       - we multiply both sides of the equation by x
100=253.86666666667*x       - we divide both sides of the equation by (253.86666666667) to get x
100/253.86666666667=x
0.39390756302521=x
x=0.39390756302521

now we have:
30 is 0.39390756302521% of 7616