300.07 is what percent of 10645.16 - 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 10645.16 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 10645.16, so we can write it down as 100%=10645.16.
4. We know, that x% equals 300.07 of the output value, so we can write it down as x%=300.07.
5. Now we have two simple equations:
1) 100%=10645.16
2) x%=300.07
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%=10645.16/300.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.07 is what percent of 10645.16

100%/x%=10645.16/300.07
(100/x)*x=(10645.16/300.07)*x       - we multiply both sides of the equation by x
100=35.475589029227*x       - we divide both sides of the equation by (35.475589029227) to get x
100/35.475589029227=x
2.8188397356169=x
x=2.8188397356169

now we have:
300.07 is 2.8188397356169% of 10645.16