310.01 is what percent of 4461.48 - 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 4461.48 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 4461.48, so we can write it down as 100%=4461.48.
4. We know, that x% equals 310.01 of the output value, so we can write it down as x%=310.01.
5. Now we have two simple equations:
1) 100%=4461.48
2) x%=310.01
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%=4461.48/310.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.01 is what percent of 4461.48

100%/x%=4461.48/310.01
(100/x)*x=(4461.48/310.01)*x       - we multiply both sides of the equation by x
100=14.391406728815*x       - we divide both sides of the equation by (14.391406728815) to get x
100/14.391406728815=x
6.9485910505034=x
x=6.9485910505034

now we have:
310.01 is 6.9485910505034% of 4461.48