473.3 is what percent of 162 - 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 162 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 162, so we can write it down as 100%=162.
4. We know, that x% equals 473.3 of the output value, so we can write it down as x%=473.3.
5. Now we have two simple equations:
1) 100%=162
2) x%=473.3
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%=162/473.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.3 is what percent of 162

100%/x%=162/473.3
(100/x)*x=(162/473.3)*x       - we multiply both sides of the equation by x
100=0.34227762518487*x       - we divide both sides of the equation by (0.34227762518487) to get x
100/0.34227762518487=x
292.16049382716=x
x=292.16049382716

now we have:
473.3 is 292.16049382716% of 162