310.01 is what percent of 2662.5 - 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 2662.5 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 2662.5, so we can write it down as 100%=2662.5.
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%=2662.5
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%=2662.5/310.01
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 2662.5

100%/x%=2662.5/310.01
(100/x)*x=(2662.5/310.01)*x       - we multiply both sides of the equation by x
100=8.5884326312054*x       - we divide both sides of the equation by (8.5884326312054) to get x
100/8.5884326312054=x
11.643568075117=x
x=11.643568075117

now we have:
310.01 is 11.643568075117% of 2662.5