311 is what percent of 315.5 - 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 315.5 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 315.5, so we can write it down as 100%=315.5.
4. We know, that x% equals 311 of the output value, so we can write it down as x%=311.
5. Now we have two simple equations:
1) 100%=315.5
2) x%=311
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%=315.5/311
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311 is what percent of 315.5

100%/x%=315.5/311
(100/x)*x=(315.5/311)*x       - we multiply both sides of the equation by x
100=1.0144694533762*x       - we divide both sides of the equation by (1.0144694533762) to get x
100/1.0144694533762=x
98.573692551506=x
x=98.573692551506

now we have:
311 is 98.573692551506% of 315.5