What is 6.7 percent of 578.4 - 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 578.4 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 578.4 is 100%, so we can write it down as 578.4=100%.
4. We know, that x is 6.7% of the output value, so we can write it down as x=6.7%.
5. Now we have two simple equations:
1) 578.4=100%
2) x=6.7%
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:
578.4/x=100%/6.7%
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 6.7% of 578.4

578.4/x=100/6.7
(578.4/x)*x=(100/6.7)*x       - we multiply both sides of the equation by x
578.4=14.925373134328*x       - we divide both sides of the equation by (14.925373134328) to get x
578.4/14.925373134328=x
38.7528=x
x=38.7528

now we have:
6.7% of 578.4=38.7528