412.42 is what percent of 475 - 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 475 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 475, so we can write it down as 100%=475.
4. We know, that x% equals 412.42 of the output value, so we can write it down as x%=412.42.
5. Now we have two simple equations:
1) 100%=475
2) x%=412.42
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%=475/412.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 412.42 is what percent of 475

100%/x%=475/412.42
(100/x)*x=(475/412.42)*x       - we multiply both sides of the equation by x
100=1.1517385189855*x       - we divide both sides of the equation by (1.1517385189855) to get x
100/1.1517385189855=x
86.825263157895=x
x=86.825263157895

now we have:
412.42 is 86.825263157895% of 475