3.49 is what percent of 6.99 - 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 6.99 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 6.99, so we can write it down as 100%=6.99.
4. We know, that x% equals 3.49 of the output value, so we can write it down as x%=3.49.
5. Now we have two simple equations:
1) 100%=6.99
2) x%=3.49
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%=6.99/3.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.49 is what percent of 6.99

100%/x%=6.99/3.49
(100/x)*x=(6.99/3.49)*x       - we multiply both sides of the equation by x
100=2.0028653295129*x       - we divide both sides of the equation by (2.0028653295129) to get x
100/2.0028653295129=x
49.928469241774=x
x=49.928469241774

now we have:
3.49 is 49.928469241774% of 6.99