238.6 is what percent of 250.5 - 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 250.5 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 250.5, so we can write it down as 100%=250.5.
4. We know, that x% equals 238.6 of the output value, so we can write it down as x%=238.6.
5. Now we have two simple equations:
1) 100%=250.5
2) x%=238.6
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%=250.5/238.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.6 is what percent of 250.5

100%/x%=250.5/238.6
(100/x)*x=(250.5/238.6)*x       - we multiply both sides of the equation by x
100=1.0498742665549*x       - we divide both sides of the equation by (1.0498742665549) to get x
100/1.0498742665549=x
95.249500998004=x
x=95.249500998004

now we have:
238.6 is 95.249500998004% of 250.5