7044.5 is what percent of 10110 - 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 10110 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 10110, so we can write it down as 100%=10110.
4. We know, that x% equals 7044.5 of the output value, so we can write it down as x%=7044.5.
5. Now we have two simple equations:
1) 100%=10110
2) x%=7044.5
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%=10110/7044.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7044.5 is what percent of 10110

100%/x%=10110/7044.5
(100/x)*x=(10110/7044.5)*x       - we multiply both sides of the equation by x
100=1.4351621832635*x       - we divide both sides of the equation by (1.4351621832635) to get x
100/1.4351621832635=x
69.678536102868=x
x=69.678536102868

now we have:
7044.5 is 69.678536102868% of 10110