699.8 is what percent of 10989.5 - 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 10989.5 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 10989.5, so we can write it down as 100%=10989.5.
4. We know, that x% equals 699.8 of the output value, so we can write it down as x%=699.8.
5. Now we have two simple equations:
1) 100%=10989.5
2) x%=699.8
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%=10989.5/699.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 699.8 is what percent of 10989.5

100%/x%=10989.5/699.8
(100/x)*x=(10989.5/699.8)*x       - we multiply both sides of the equation by x
100=15.70377250643*x       - we divide both sides of the equation by (15.70377250643) to get x
100/15.70377250643=x
6.3678966286=x
x=6.3678966286

now we have:
699.8 is 6.3678966286% of 10989.5