What is 165 percent of 0.25 - 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 0.25 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 0.25 is 100%, so we can write it down as 0.25=100%.
4. We know, that x is 165% of the output value, so we can write it down as x=165%.
5. Now we have two simple equations:
1) 0.25=100%
2) x=165%
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:
0.25/x=100%/165%
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 165% of 0.25

0.25/x=100/165
(0.25/x)*x=(100/165)*x       - we multiply both sides of the equation by x
0.25=0.60606060606061*x       - we divide both sides of the equation by (0.60606060606061) to get x
0.25/0.60606060606061=x
0.4125=x
x=0.4125

now we have:
165% of 0.25=0.4125