12.28 is what percent of 5.71 - 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 5.71 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 5.71, so we can write it down as 100%=5.71.
4. We know, that x% equals 12.28 of the output value, so we can write it down as x%=12.28.
5. Now we have two simple equations:
1) 100%=5.71
2) x%=12.28
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%=5.71/12.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.28 is what percent of 5.71

100%/x%=5.71/12.28
(100/x)*x=(5.71/12.28)*x       - we multiply both sides of the equation by x
100=0.46498371335505*x       - we divide both sides of the equation by (0.46498371335505) to get x
100/0.46498371335505=x
215.06129597198=x
x=215.06129597198

now we have:
12.28 is 215.06129597198% of 5.71