29 is what percent of 318.9 - 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 318.9 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 318.9, so we can write it down as 100%=318.9.
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%=318.9
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%=318.9/29
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 318.9

100%/x%=318.9/29
(100/x)*x=(318.9/29)*x       - we multiply both sides of the equation by x
100=10.996551724138*x       - we divide both sides of the equation by (10.996551724138) to get x
100/10.996551724138=x
9.0937597993101=x
x=9.0937597993101

now we have:
29 is 9.0937597993101% of 318.9