1025.4 is what percent of 3690.43 - 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 3690.43 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 3690.43, so we can write it down as 100%=3690.43.
4. We know, that x% equals 1025.4 of the output value, so we can write it down as x%=1025.4.
5. Now we have two simple equations:
1) 100%=3690.43
2) x%=1025.4
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%=3690.43/1025.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1025.4 is what percent of 3690.43

100%/x%=3690.43/1025.4
(100/x)*x=(3690.43/1025.4)*x       - we multiply both sides of the equation by x
100=3.5990150185294*x       - we divide both sides of the equation by (3.5990150185294) to get x
100/3.5990150185294=x
27.785380023466=x
x=27.785380023466

now we have:
1025.4 is 27.785380023466% of 3690.43