What is 6.9 percent of 578.43 - 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 578.43 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 578.43 is 100%, so we can write it down as 578.43=100%.
4. We know, that x is 6.9% of the output value, so we can write it down as x=6.9%.
5. Now we have two simple equations:
1) 578.43=100%
2) x=6.9%
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:
578.43/x=100%/6.9%
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 6.9% of 578.43

578.43/x=100/6.9
(578.43/x)*x=(100/6.9)*x       - we multiply both sides of the equation by x
578.43=14.492753623188*x       - we divide both sides of the equation by (14.492753623188) to get x
578.43/14.492753623188=x
39.91167=x
x=39.91167

now we have:
6.9% of 578.43=39.91167