30.25 is what percent of 209.75 - 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 209.75 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 209.75, so we can write it down as 100%=209.75.
4. We know, that x% equals 30.25 of the output value, so we can write it down as x%=30.25.
5. Now we have two simple equations:
1) 100%=209.75
2) x%=30.25
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%=209.75/30.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.25 is what percent of 209.75

100%/x%=209.75/30.25
(100/x)*x=(209.75/30.25)*x       - we multiply both sides of the equation by x
100=6.9338842975207*x       - we divide both sides of the equation by (6.9338842975207) to get x
100/6.9338842975207=x
14.421930870083=x
x=14.421930870083

now we have:
30.25 is 14.421930870083% of 209.75