425.3 is what percent of 3992 - 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 3992 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 3992, so we can write it down as 100%=3992.
4. We know, that x% equals 425.3 of the output value, so we can write it down as x%=425.3.
5. Now we have two simple equations:
1) 100%=3992
2) x%=425.3
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%=3992/425.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425.3 is what percent of 3992

100%/x%=3992/425.3
(100/x)*x=(3992/425.3)*x       - we multiply both sides of the equation by x
100=9.3863155419704*x       - we divide both sides of the equation by (9.3863155419704) to get x
100/9.3863155419704=x
10.65380761523=x
x=10.65380761523

now we have:
425.3 is 10.65380761523% of 3992