29 is what percent of 362 - 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 362 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 362, so we can write it down as 100%=362.
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%=362
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%=362/29
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 362

100%/x%=362/29
(100/x)*x=(362/29)*x       - we multiply both sides of the equation by x
100=12.48275862069*x       - we divide both sides of the equation by (12.48275862069) to get x
100/12.48275862069=x
8.0110497237569=x
x=8.0110497237569

now we have:
29 is 8.0110497237569% of 362