996.5 is what percent of 1193 - 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 1193 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 1193, so we can write it down as 100%=1193.
4. We know, that x% equals 996.5 of the output value, so we can write it down as x%=996.5.
5. Now we have two simple equations:
1) 100%=1193
2) x%=996.5
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%=1193/996.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 996.5 is what percent of 1193

100%/x%=1193/996.5
(100/x)*x=(1193/996.5)*x       - we multiply both sides of the equation by x
100=1.1971901655795*x       - we divide both sides of the equation by (1.1971901655795) to get x
100/1.1971901655795=x
83.528918692372=x
x=83.528918692372

now we have:
996.5 is 83.528918692372% of 1193