3.14 is what percent of 2.8 - 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 2.8 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 2.8, so we can write it down as 100%=2.8.
4. We know, that x% equals 3.14 of the output value, so we can write it down as x%=3.14.
5. Now we have two simple equations:
1) 100%=2.8
2) x%=3.14
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%=2.8/3.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.14 is what percent of 2.8

100%/x%=2.8/3.14
(100/x)*x=(2.8/3.14)*x       - we multiply both sides of the equation by x
100=0.89171974522293*x       - we divide both sides of the equation by (0.89171974522293) to get x
100/0.89171974522293=x
112.14285714286=x
x=112.14285714286

now we have:
3.14 is 112.14285714286% of 2.8