10377.49 is what percent of 31473.39 - 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 31473.39 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 31473.39, so we can write it down as 100%=31473.39.
4. We know, that x% equals 10377.49 of the output value, so we can write it down as x%=10377.49.
5. Now we have two simple equations:
1) 100%=31473.39
2) x%=10377.49
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%=31473.39/10377.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10377.49 is what percent of 31473.39

100%/x%=31473.39/10377.49
(100/x)*x=(31473.39/10377.49)*x       - we multiply both sides of the equation by x
100=3.0328518745862*x       - we divide both sides of the equation by (3.0328518745862) to get x
100/3.0328518745862=x
32.972266412992=x
x=32.972266412992

now we have:
10377.49 is 32.972266412992% of 31473.39