780.5 is what percent of 995 - 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 995 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 995, so we can write it down as 100%=995.
4. We know, that x% equals 780.5 of the output value, so we can write it down as x%=780.5.
5. Now we have two simple equations:
1) 100%=995
2) x%=780.5
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%=995/780.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 780.5 is what percent of 995

100%/x%=995/780.5
(100/x)*x=(995/780.5)*x       - we multiply both sides of the equation by x
100=1.2748238308776*x       - we divide both sides of the equation by (1.2748238308776) to get x
100/1.2748238308776=x
78.442211055276=x
x=78.442211055276

now we have:
780.5 is 78.442211055276% of 995