238.8 is what percent of 718.8 - 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 718.8 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 718.8, so we can write it down as 100%=718.8.
4. We know, that x% equals 238.8 of the output value, so we can write it down as x%=238.8.
5. Now we have two simple equations:
1) 100%=718.8
2) x%=238.8
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%=718.8/238.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.8 is what percent of 718.8

100%/x%=718.8/238.8
(100/x)*x=(718.8/238.8)*x       - we multiply both sides of the equation by x
100=3.0100502512563*x       - we divide both sides of the equation by (3.0100502512563) to get x
100/3.0100502512563=x
33.22203672788=x
x=33.22203672788

now we have:
238.8 is 33.22203672788% of 718.8