25 is what percent of 229.99 - 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 229.99 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 229.99, so we can write it down as 100%=229.99.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=229.99
2) x%=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%=229.99/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 229.99

100%/x%=229.99/25
(100/x)*x=(229.99/25)*x       - we multiply both sides of the equation by x
100=9.1996*x       - we divide both sides of the equation by (9.1996) to get x
100/9.1996=x
10.870037827732=x
x=10.870037827732

now we have:
25 is 10.870037827732% of 229.99