3.38 is what percent of 28.571 - 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 28.571 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 28.571, so we can write it down as 100%=28.571.
4. We know, that x% equals 3.38 of the output value, so we can write it down as x%=3.38.
5. Now we have two simple equations:
1) 100%=28.571
2) x%=3.38
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%=28.571/3.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.38 is what percent of 28.571

100%/x%=28.571/3.38
(100/x)*x=(28.571/3.38)*x       - we multiply both sides of the equation by x
100=8.4529585798817*x       - we divide both sides of the equation by (8.4529585798817) to get x
100/8.4529585798817=x
11.830177452662=x
x=11.830177452662

now we have:
3.38 is 11.830177452662% of 28.571