147.69 is what percent of 3098 - 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 3098 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 3098, so we can write it down as 100%=3098.
4. We know, that x% equals 147.69 of the output value, so we can write it down as x%=147.69.
5. Now we have two simple equations:
1) 100%=3098
2) x%=147.69
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%=3098/147.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.69 is what percent of 3098

100%/x%=3098/147.69
(100/x)*x=(3098/147.69)*x       - we multiply both sides of the equation by x
100=20.976369422439*x       - we divide both sides of the equation by (20.976369422439) to get x
100/20.976369422439=x
4.7672692059393=x
x=4.7672692059393

now we have:
147.69 is 4.7672692059393% of 3098