462.25 is what percent of 1191 - 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 1191 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 1191, so we can write it down as 100%=1191.
4. We know, that x% equals 462.25 of the output value, so we can write it down as x%=462.25.
5. Now we have two simple equations:
1) 100%=1191
2) x%=462.25
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%=1191/462.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.25 is what percent of 1191

100%/x%=1191/462.25
(100/x)*x=(1191/462.25)*x       - we multiply both sides of the equation by x
100=2.5765278528935*x       - we divide both sides of the equation by (2.5765278528935) to get x
100/2.5765278528935=x
38.811922753988=x
x=38.811922753988

now we have:
462.25 is 38.811922753988% of 1191