9.98 is what percent of 769.78 - 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 769.78 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 769.78, so we can write it down as 100%=769.78.
4. We know, that x% equals 9.98 of the output value, so we can write it down as x%=9.98.
5. Now we have two simple equations:
1) 100%=769.78
2) x%=9.98
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%=769.78/9.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.98 is what percent of 769.78

100%/x%=769.78/9.98
(100/x)*x=(769.78/9.98)*x       - we multiply both sides of the equation by x
100=77.132264529058*x       - we divide both sides of the equation by (77.132264529058) to get x
100/77.132264529058=x
1.2964743173374=x
x=1.2964743173374

now we have:
9.98 is 1.2964743173374% of 769.78