462.2 is what percent of 600.5 - 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 600.5 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 600.5, so we can write it down as 100%=600.5.
4. We know, that x% equals 462.2 of the output value, so we can write it down as x%=462.2.
5. Now we have two simple equations:
1) 100%=600.5
2) x%=462.2
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%=600.5/462.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.2 is what percent of 600.5

100%/x%=600.5/462.2
(100/x)*x=(600.5/462.2)*x       - we multiply both sides of the equation by x
100=1.2992211164*x       - we divide both sides of the equation by (1.2992211164) to get x
100/1.2992211164=x
76.9691923397=x
x=76.9691923397

now we have:
462.2 is 76.9691923397% of 600.5