784.88 is what percent of 998 - 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 998 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 998, so we can write it down as 100%=998.
4. We know, that x% equals 784.88 of the output value, so we can write it down as x%=784.88.
5. Now we have two simple equations:
1) 100%=998
2) x%=784.88
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%=998/784.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 784.88 is what percent of 998

100%/x%=998/784.88
(100/x)*x=(998/784.88)*x       - we multiply both sides of the equation by x
100=1.2715319539293*x       - we divide both sides of the equation by (1.2715319539293) to get x
100/1.2715319539293=x
78.645290581162=x
x=78.645290581162

now we have:
784.88 is 78.645290581162% of 998