3.8 is what percent of 231 - 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 231 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 231, so we can write it down as 100%=231.
4. We know, that x% equals 3.8 of the output value, so we can write it down as x%=3.8.
5. Now we have two simple equations:
1) 100%=231
2) x%=3.8
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%=231/3.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.8 is what percent of 231

100%/x%=231/3.8
(100/x)*x=(231/3.8)*x       - we multiply both sides of the equation by x
100=60.789473684211*x       - we divide both sides of the equation by (60.789473684211) to get x
100/60.789473684211=x
1.6450216450216=x
x=1.6450216450216

now we have:
3.8 is 1.6450216450216% of 231