271.71 is what percent of 400.09 - 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 400.09 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 400.09, so we can write it down as 100%=400.09.
4. We know, that x% equals 271.71 of the output value, so we can write it down as x%=271.71.
5. Now we have two simple equations:
1) 100%=400.09
2) x%=271.71
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%=400.09/271.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.71 is what percent of 400.09

100%/x%=400.09/271.71
(100/x)*x=(400.09/271.71)*x       - we multiply both sides of the equation by x
100=1.4724890508262*x       - we divide both sides of the equation by (1.4724890508262) to get x
100/1.4724890508262=x
67.912219750556=x
x=67.912219750556

now we have:
271.71 is 67.912219750556% of 400.09