311.47 is what percent of 1264.82 - 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 1264.82 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 1264.82, so we can write it down as 100%=1264.82.
4. We know, that x% equals 311.47 of the output value, so we can write it down as x%=311.47.
5. Now we have two simple equations:
1) 100%=1264.82
2) x%=311.47
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%=1264.82/311.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.47 is what percent of 1264.82

100%/x%=1264.82/311.47
(100/x)*x=(1264.82/311.47)*x       - we multiply both sides of the equation by x
100=4.0608084245674*x       - we divide both sides of the equation by (4.0608084245674) to get x
100/4.0608084245674=x
24.625638430765=x
x=24.625638430765

now we have:
311.47 is 24.625638430765% of 1264.82