271.9 is what percent of 299.9 - 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 299.9 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 299.9, so we can write it down as 100%=299.9.
4. We know, that x% equals 271.9 of the output value, so we can write it down as x%=271.9.
5. Now we have two simple equations:
1) 100%=299.9
2) x%=271.9
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%=299.9/271.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.9 is what percent of 299.9

100%/x%=299.9/271.9
(100/x)*x=(299.9/271.9)*x       - we multiply both sides of the equation by x
100=1.1029790364104*x       - we divide both sides of the equation by (1.1029790364104) to get x
100/1.1029790364104=x
90.663554518173=x
x=90.663554518173

now we have:
271.9 is 90.663554518173% of 299.9