271.67 is what percent of 570 - 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 570 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 570, so we can write it down as 100%=570.
4. We know, that x% equals 271.67 of the output value, so we can write it down as x%=271.67.
5. Now we have two simple equations:
1) 100%=570
2) x%=271.67
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%=570/271.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.67 is what percent of 570

100%/x%=570/271.67
(100/x)*x=(570/271.67)*x       - we multiply both sides of the equation by x
100=2.0981337652299*x       - we divide both sides of the equation by (2.0981337652299) to get x
100/2.0981337652299=x
47.661403508772=x
x=47.661403508772

now we have:
271.67 is 47.661403508772% of 570