What is 56.67 percent of 6 - 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 6 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 6 is 100%, so we can write it down as 6=100%.
4. We know, that x is 56.67% of the output value, so we can write it down as x=56.67%.
5. Now we have two simple equations:
1) 6=100%
2) x=56.67%
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:
6/x=100%/56.67%
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 56.67% of 6

6/x=100/56.67
(6/x)*x=(100/56.67)*x       - we multiply both sides of the equation by x
6=1.7646020822305*x       - we divide both sides of the equation by (1.7646020822305) to get x
6/1.7646020822305=x
3.4002=x
x=3.4002

now we have:
56.67% of 6=3.4002