What is 250 percent of 0.666 - 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 0.666 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 0.666 is 100%, so we can write it down as 0.666=100%.
4. We know, that x is 250% of the output value, so we can write it down as x=250%.
5. Now we have two simple equations:
1) 0.666=100%
2) x=250%
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:
0.666/x=100%/250%
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 250% of 0.666

0.666/x=100/250
(0.666/x)*x=(100/250)*x       - we multiply both sides of the equation by x
0.666=0.4*x       - we divide both sides of the equation by (0.4) to get x
0.666/0.4=x
1.665=x
x=1.665

now we have:
250% of 0.666=1.665