311.79 is what percent of 375 - 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 375 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 375, so we can write it down as 100%=375.
4. We know, that x% equals 311.79 of the output value, so we can write it down as x%=311.79.
5. Now we have two simple equations:
1) 100%=375
2) x%=311.79
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%=375/311.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.79 is what percent of 375

100%/x%=375/311.79
(100/x)*x=(375/311.79)*x       - we multiply both sides of the equation by x
100=1.2027326084865*x       - we divide both sides of the equation by (1.2027326084865) to get x
100/1.2027326084865=x
83.144=x
x=83.144

now we have:
311.79 is 83.144% of 375