12.71 is what percent of 340.29 - 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 340.29 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 340.29, so we can write it down as 100%=340.29.
4. We know, that x% equals 12.71 of the output value, so we can write it down as x%=12.71.
5. Now we have two simple equations:
1) 100%=340.29
2) x%=12.71
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%=340.29/12.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.71 is what percent of 340.29

100%/x%=340.29/12.71
(100/x)*x=(340.29/12.71)*x       - we multiply both sides of the equation by x
100=26.773406766326*x       - we divide both sides of the equation by (26.773406766326) to get x
100/26.773406766326=x
3.7350495165888=x
x=3.7350495165888

now we have:
12.71 is 3.7350495165888% of 340.29