311.63 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 311.63 of the output value, so we can write it down as x%=311.63.
5. Now we have two simple equations:
1) 100%=475
2) x%=311.63
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%=475/311.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.63 is what percent of 475

100%/x%=475/311.63
(100/x)*x=(475/311.63)*x       - we multiply both sides of the equation by x
100=1.524243493887*x       - we divide both sides of the equation by (1.524243493887) to get x
100/1.524243493887=x
65.606315789474=x
x=65.606315789474

now we have:
311.63 is 65.606315789474% of 475