564.3 is what percent of 599.67 - 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 599.67 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 100% equals 599.67, so we can write it down as 100%=599.67.
4. We know, that x% equals 564.3 of the output value, so we can write it down as x%=564.3.
5. Now we have two simple equations:
1) 100%=599.67
2) x%=564.3
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%=599.67/564.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 564.3 is what percent of 599.67

100%/x%=599.67/564.3
(100/x)*x=(599.67/564.3)*x       - we multiply both sides of the equation by x
100=1.0626794258373*x       - we divide both sides of the equation by (1.0626794258373) to get x
100/1.0626794258373=x
94.101755965781=x
x=94.101755965781

now we have:
564.3 is 94.101755965781% of 599.67