What is 125 percent of 0.46 - 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 0.46 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 0.46 is 100%, so we can write it down as 0.46=100%.
4. We know, that x is 125% of the output value, so we can write it down as x=125%.
5. Now we have two simple equations:
1) 0.46=100%
2) x=125%
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:
0.46/x=100%/125%
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 125% of 0.46

0.46/x=100/125
(0.46/x)*x=(100/125)*x       - we multiply both sides of the equation by x
0.46=0.8*x       - we divide both sides of the equation by (0.8) to get x
0.46/0.8=x
0.575=x
x=0.575

now we have:
125% of 0.46=0.575