271.85 is what percent of 1199.52 - 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 1199.52 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 1199.52, so we can write it down as 100%=1199.52.
4. We know, that x% equals 271.85 of the output value, so we can write it down as x%=271.85.
5. Now we have two simple equations:
1) 100%=1199.52
2) x%=271.85
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%=1199.52/271.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.85 is what percent of 1199.52

100%/x%=1199.52/271.85
(100/x)*x=(1199.52/271.85)*x       - we multiply both sides of the equation by x
100=4.4124333272025*x       - we divide both sides of the equation by (4.4124333272025) to get x
100/4.4124333272025=x
22.66323195945=x
x=22.66323195945

now we have:
271.85 is 22.66323195945% of 1199.52