240.8 is what percent of 361.25 - 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 361.25 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 361.25, so we can write it down as 100%=361.25.
4. We know, that x% equals 240.8 of the output value, so we can write it down as x%=240.8.
5. Now we have two simple equations:
1) 100%=361.25
2) x%=240.8
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%=361.25/240.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 240.8 is what percent of 361.25

100%/x%=361.25/240.8
(100/x)*x=(361.25/240.8)*x       - we multiply both sides of the equation by x
100=1.500207641196*x       - we divide both sides of the equation by (1.500207641196) to get x
100/1.500207641196=x
66.657439446367=x
x=66.657439446367

now we have:
240.8 is 66.657439446367% of 361.25