67.7 is what percent of 578.5 - 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 578.5 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 100% equals 578.5, so we can write it down as 100%=578.5.
4. We know, that x% equals 67.7 of the output value, so we can write it down as x%=67.7.
5. Now we have two simple equations:
1) 100%=578.5
2) x%=67.7
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:
100%/x%=578.5/67.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.7 is what percent of 578.5

100%/x%=578.5/67.7
(100/x)*x=(578.5/67.7)*x       - we multiply both sides of the equation by x
100=8.5450516986706*x       - we divide both sides of the equation by (8.5450516986706) to get x
100/8.5450516986706=x
11.702679343129=x
x=11.702679343129

now we have:
67.7 is 11.702679343129% of 578.5