0.86 is what percent of 2.78 - 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 2.78 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 2.78, so we can write it down as 100%=2.78.
4. We know, that x% equals 0.86 of the output value, so we can write it down as x%=0.86.
5. Now we have two simple equations:
1) 100%=2.78
2) x%=0.86
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%=2.78/0.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.86 is what percent of 2.78

100%/x%=2.78/0.86
(100/x)*x=(2.78/0.86)*x       - we multiply both sides of the equation by x
100=3.2325581395349*x       - we divide both sides of the equation by (3.2325581395349) to get x
100/3.2325581395349=x
30.935251798561=x
x=30.935251798561

now we have:
0.86 is 30.935251798561% of 2.78