29 is what percent of 443 - 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 443 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 443, so we can write it down as 100%=443.
4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.
5. Now we have two simple equations:
1) 100%=443
2) x%=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%=443/29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29 is what percent of 443

100%/x%=443/29
(100/x)*x=(443/29)*x       - we multiply both sides of the equation by x
100=15.275862068966*x       - we divide both sides of the equation by (15.275862068966) to get x
100/15.275862068966=x
6.5462753950339=x
x=6.5462753950339

now we have:
29 is 6.5462753950339% of 443