596.11 is what percent of 1597.6 - 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 1597.6 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 1597.6, so we can write it down as 100%=1597.6.
4. We know, that x% equals 596.11 of the output value, so we can write it down as x%=596.11.
5. Now we have two simple equations:
1) 100%=1597.6
2) x%=596.11
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%=1597.6/596.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 596.11 is what percent of 1597.6

100%/x%=1597.6/596.11
(100/x)*x=(1597.6/596.11)*x       - we multiply both sides of the equation by x
100=2.6800422740769*x       - we divide both sides of the equation by (2.6800422740769) to get x
100/2.6800422740769=x
37.3128442664=x
x=37.3128442664

now we have:
596.11 is 37.3128442664% of 1597.6