What is 38.6088 percent of 488.67 - 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 488.67 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 488.67 is 100%, so we can write it down as 488.67=100%.
4. We know, that x is 38.6088% of the output value, so we can write it down as x=38.6088%.
5. Now we have two simple equations:
1) 488.67=100%
2) x=38.6088%
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:
488.67/x=100%/38.6088%
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 38.6088% of 488.67

488.67/x=100/38.6088
(488.67/x)*x=(100/38.6088)*x       - we multiply both sides of the equation by x
488.67=2.5900830898655*x       - we divide both sides of the equation by (2.5900830898655) to get x
488.67/2.5900830898655=x
188.66962296=x
x=188.66962296

now we have:
38.6088% of 488.67=188.66962296