969.69 is what percent of 15560.42 - 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 15560.42 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 15560.42, so we can write it down as 100%=15560.42.
4. We know, that x% equals 969.69 of the output value, so we can write it down as x%=969.69.
5. Now we have two simple equations:
1) 100%=15560.42
2) x%=969.69
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%=15560.42/969.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 969.69 is what percent of 15560.42

100%/x%=15560.42/969.69
(100/x)*x=(15560.42/969.69)*x       - we multiply both sides of the equation by x
100=16.046798461364*x       - we divide both sides of the equation by (16.046798461364) to get x
100/16.046798461364=x
6.231772664234=x
x=6.231772664234

now we have:
969.69 is 6.231772664234% of 15560.42