What is 77.58 percent of 0.06 - 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 0.06 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 0.06 is 100%, so we can write it down as 0.06=100%.
4. We know, that x is 77.58% of the output value, so we can write it down as x=77.58%.
5. Now we have two simple equations:
1) 0.06=100%
2) x=77.58%
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:
0.06/x=100%/77.58%
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 77.58% of 0.06

0.06/x=100/77.58
(0.06/x)*x=(100/77.58)*x       - we multiply both sides of the equation by x
0.06=1.2889920082495*x       - we divide both sides of the equation by (1.2889920082495) to get x
0.06/1.2889920082495=x
0.046548=x
x=0.046548

now we have:
77.58% of 0.06=0.046548