30.29 is what percent of 3028.85 - 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 3028.85 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 3028.85, so we can write it down as 100%=3028.85.
4. We know, that x% equals 30.29 of the output value, so we can write it down as x%=30.29.
5. Now we have two simple equations:
1) 100%=3028.85
2) x%=30.29
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%=3028.85/30.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.29 is what percent of 3028.85

100%/x%=3028.85/30.29
(100/x)*x=(3028.85/30.29)*x       - we multiply both sides of the equation by x
100=99.995047870584*x       - we divide both sides of the equation by (99.995047870584) to get x
100/99.995047870584=x
1.0000495237466=x
x=1.0000495237466

now we have:
30.29 is 1.0000495237466% of 3028.85