What is 800 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 800% of the output value, so we can write it down as x=800%.
5. Now we have two simple equations:
1) 0.46=100%
2) x=800%
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%/800%
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 800% of 0.46

0.46/x=100/800
(0.46/x)*x=(100/800)*x       - we multiply both sides of the equation by x
0.46=0.125*x       - we divide both sides of the equation by (0.125) to get x
0.46/0.125=x
3.68=x
x=3.68

now we have:
800% of 0.46=3.68