178.37 is what percent of 564.68 - 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 564.68 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 564.68, so we can write it down as 100%=564.68.
4. We know, that x% equals 178.37 of the output value, so we can write it down as x%=178.37.
5. Now we have two simple equations:
1) 100%=564.68
2) x%=178.37
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%=564.68/178.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.37 is what percent of 564.68

100%/x%=564.68/178.37
(100/x)*x=(564.68/178.37)*x       - we multiply both sides of the equation by x
100=3.1657789987105*x       - we divide both sides of the equation by (3.1657789987105) to get x
100/3.1657789987105=x
31.587801940922=x
x=31.587801940922

now we have:
178.37 is 31.587801940922% of 564.68