29.07 is what percent of 242.25 - 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 242.25 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 242.25, so we can write it down as 100%=242.25.
4. We know, that x% equals 29.07 of the output value, so we can write it down as x%=29.07.
5. Now we have two simple equations:
1) 100%=242.25
2) x%=29.07
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%=242.25/29.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.07 is what percent of 242.25

100%/x%=242.25/29.07
(100/x)*x=(242.25/29.07)*x       - we multiply both sides of the equation by x
100=8.3333333333333*x       - we divide both sides of the equation by (8.3333333333333) to get x
100/8.3333333333333=x
12=x
x=12

now we have:
29.07 is 12% of 242.25