708.8 is what percent of 786 - 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 786 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 786, so we can write it down as 100%=786.
4. We know, that x% equals 708.8 of the output value, so we can write it down as x%=708.8.
5. Now we have two simple equations:
1) 100%=786
2) x%=708.8
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%=786/708.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 708.8 is what percent of 786

100%/x%=786/708.8
(100/x)*x=(786/708.8)*x       - we multiply both sides of the equation by x
100=1.1089164785553*x       - we divide both sides of the equation by (1.1089164785553) to get x
100/1.1089164785553=x
90.178117048346=x
x=90.178117048346

now we have:
708.8 is 90.178117048346% of 786