1512.45 is what percent of 3698.97 - 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 3698.97 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 3698.97, so we can write it down as 100%=3698.97.
4. We know, that x% equals 1512.45 of the output value, so we can write it down as x%=1512.45.
5. Now we have two simple equations:
1) 100%=3698.97
2) x%=1512.45
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%=3698.97/1512.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1512.45 is what percent of 3698.97

100%/x%=3698.97/1512.45
(100/x)*x=(3698.97/1512.45)*x       - we multiply both sides of the equation by x
100=2.4456808489537*x       - we divide both sides of the equation by (2.4456808489537) to get x
100/2.4456808489537=x
40.888409476151=x
x=40.888409476151

now we have:
1512.45 is 40.888409476151% of 3698.97