What is 26.388888888889 percent of 0.85 - 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 0.85 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 0.85 is 100%, so we can write it down as 0.85=100%.
4. We know, that x is 26.388888888889% of the output value, so we can write it down as x=26.388888888889%.
5. Now we have two simple equations:
1) 0.85=100%
2) x=26.388888888889%
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:
0.85/x=100%/26.388888888889%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.388888888889% of 0.85

0.85/x=100/26.388888888889
(0.85/x)*x=(100/26.388888888889)*x       - we multiply both sides of the equation by x
0.85=3.7894736842105*x       - we divide both sides of the equation by (3.7894736842105) to get x
0.85/3.7894736842105=x
0.22430555555556=x
x=0.22430555555556

now we have:
26.388888888889% of 0.85=0.22430555555556