2.86 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 2.86 of the output value, so we can write it down as x%=2.86.
5. Now we have two simple equations:
1) 100%=2.8
2) x%=2.86
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%=2.8/2.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.86 is what percent of 2.8

100%/x%=2.8/2.86
(100/x)*x=(2.8/2.86)*x       - we multiply both sides of the equation by x
100=0.97902097902098*x       - we divide both sides of the equation by (0.97902097902098) to get x
100/0.97902097902098=x
102.14285714286=x
x=102.14285714286

now we have:
2.86 is 102.14285714286% of 2.8