71.8 is what percent of 243.8 - 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 243.8 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 243.8, so we can write it down as 100%=243.8.
4. We know, that x% equals 71.8 of the output value, so we can write it down as x%=71.8.
5. Now we have two simple equations:
1) 100%=243.8
2) x%=71.8
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%=243.8/71.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.8 is what percent of 243.8

100%/x%=243.8/71.8
(100/x)*x=(243.8/71.8)*x       - we multiply both sides of the equation by x
100=3.3955431754875*x       - we divide both sides of the equation by (3.3955431754875) to get x
100/3.3955431754875=x
29.450369155045=x
x=29.450369155045

now we have:
71.8 is 29.450369155045% of 243.8