630.29 is what percent of 3056.33 - 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 3056.33 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 3056.33, so we can write it down as 100%=3056.33.
4. We know, that x% equals 630.29 of the output value, so we can write it down as x%=630.29.
5. Now we have two simple equations:
1) 100%=3056.33
2) x%=630.29
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%=3056.33/630.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 630.29 is what percent of 3056.33

100%/x%=3056.33/630.29
(100/x)*x=(3056.33/630.29)*x       - we multiply both sides of the equation by x
100=4.8490853416681*x       - we divide both sides of the equation by (4.8490853416681) to get x
100/4.8490853416681=x
20.622445874627=x
x=20.622445874627

now we have:
630.29 is 20.622445874627% of 3056.33