309.17 is what percent of 371.64 - 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 371.64 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 371.64, so we can write it down as 100%=371.64.
4. We know, that x% equals 309.17 of the output value, so we can write it down as x%=309.17.
5. Now we have two simple equations:
1) 100%=371.64
2) x%=309.17
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%=371.64/309.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.17 is what percent of 371.64

100%/x%=371.64/309.17
(100/x)*x=(371.64/309.17)*x       - we multiply both sides of the equation by x
100=1.2020571206779*x       - we divide both sides of the equation by (1.2020571206779) to get x
100/1.2020571206779=x
83.190722204284=x
x=83.190722204284

now we have:
309.17 is 83.190722204284% of 371.64