6.49 is what percent of 744.98 - 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 744.98 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 744.98, so we can write it down as 100%=744.98.
4. We know, that x% equals 6.49 of the output value, so we can write it down as x%=6.49.
5. Now we have two simple equations:
1) 100%=744.98
2) x%=6.49
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%=744.98/6.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.49 is what percent of 744.98

100%/x%=744.98/6.49
(100/x)*x=(744.98/6.49)*x       - we multiply both sides of the equation by x
100=114.78890600924*x       - we divide both sides of the equation by (114.78890600924) to get x
100/114.78890600924=x
0.8711643265591=x
x=0.8711643265591

now we have:
6.49 is 0.8711643265591% of 744.98