23.57 is what percent of 393.77 - 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 393.77 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 393.77, so we can write it down as 100%=393.77.
4. We know, that x% equals 23.57 of the output value, so we can write it down as x%=23.57.
5. Now we have two simple equations:
1) 100%=393.77
2) x%=23.57
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%=393.77/23.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.57 is what percent of 393.77

100%/x%=393.77/23.57
(100/x)*x=(393.77/23.57)*x       - we multiply both sides of the equation by x
100=16.706406448876*x       - we divide both sides of the equation by (16.706406448876) to get x
100/16.706406448876=x
5.9857277090687=x
x=5.9857277090687

now we have:
23.57 is 5.9857277090687% of 393.77