105.18 is what percent of 271.48 - 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 271.48 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 271.48, so we can write it down as 100%=271.48.
4. We know, that x% equals 105.18 of the output value, so we can write it down as x%=105.18.
5. Now we have two simple equations:
1) 100%=271.48
2) x%=105.18
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%=271.48/105.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.18 is what percent of 271.48

100%/x%=271.48/105.18
(100/x)*x=(271.48/105.18)*x       - we multiply both sides of the equation by x
100=2.5810990682639*x       - we divide both sides of the equation by (2.5810990682639) to get x
100/2.5810990682639=x
38.743185501694=x
x=38.743185501694

now we have:
105.18 is 38.743185501694% of 271.48