30.29 is what percent of 496.27 - 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 496.27 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 496.27, so we can write it down as 100%=496.27.
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%=496.27
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%=496.27/30.29
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 496.27

100%/x%=496.27/30.29
(100/x)*x=(496.27/30.29)*x       - we multiply both sides of the equation by x
100=16.383955100693*x       - we divide both sides of the equation by (16.383955100693) to get x
100/16.383955100693=x
6.103532351341=x
x=6.103532351341

now we have:
30.29 is 6.103532351341% of 496.27