7985.5 is what percent of 12693 - 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 12693 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 12693, so we can write it down as 100%=12693.
4. We know, that x% equals 7985.5 of the output value, so we can write it down as x%=7985.5.
5. Now we have two simple equations:
1) 100%=12693
2) x%=7985.5
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%=12693/7985.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7985.5 is what percent of 12693

100%/x%=12693/7985.5
(100/x)*x=(12693/7985.5)*x       - we multiply both sides of the equation by x
100=1.589505979588*x       - we divide both sides of the equation by (1.589505979588) to get x
100/1.589505979588=x
62.912629008115=x
x=62.912629008115

now we have:
7985.5 is 62.912629008115% of 12693