29.83 is what percent of 452.43 - 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 452.43 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 452.43, so we can write it down as 100%=452.43.
4. We know, that x% equals 29.83 of the output value, so we can write it down as x%=29.83.
5. Now we have two simple equations:
1) 100%=452.43
2) x%=29.83
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%=452.43/29.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.83 is what percent of 452.43

100%/x%=452.43/29.83
(100/x)*x=(452.43/29.83)*x       - we multiply both sides of the equation by x
100=15.166946027489*x       - we divide both sides of the equation by (15.166946027489) to get x
100/15.166946027489=x
6.5932851490838=x
x=6.5932851490838

now we have:
29.83 is 6.5932851490838% of 452.43