0.86 is what percent of 0.9 - 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 0.9 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 0.9, so we can write it down as 100%=0.9.
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%=0.9
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%=0.9/0.86
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 0.9

100%/x%=0.9/0.86
(100/x)*x=(0.9/0.86)*x       - we multiply both sides of the equation by x
100=1.046511627907*x       - we divide both sides of the equation by (1.046511627907) to get x
100/1.046511627907=x
95.555555555556=x
x=95.555555555556

now we have:
0.86 is 95.555555555556% of 0.9