599.55 is what percent of 477.42 - 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 477.42 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 477.42, so we can write it down as 100%=477.42.
4. We know, that x% equals 599.55 of the output value, so we can write it down as x%=599.55.
5. Now we have two simple equations:
1) 100%=477.42
2) x%=599.55
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%=477.42/599.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 599.55 is what percent of 477.42

100%/x%=477.42/599.55
(100/x)*x=(477.42/599.55)*x       - we multiply both sides of the equation by x
100=0.79629722291719*x       - we divide both sides of the equation by (0.79629722291719) to get x
100/0.79629722291719=x
125.58124921453=x
x=125.58124921453

now we have:
599.55 is 125.58124921453% of 477.42