364.28 is what percent of 10403.75 - 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 10403.75 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 10403.75, so we can write it down as 100%=10403.75.
4. We know, that x% equals 364.28 of the output value, so we can write it down as x%=364.28.
5. Now we have two simple equations:
1) 100%=10403.75
2) x%=364.28
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%=10403.75/364.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.28 is what percent of 10403.75

100%/x%=10403.75/364.28
(100/x)*x=(10403.75/364.28)*x       - we multiply both sides of the equation by x
100=28.559761721753*x       - we divide both sides of the equation by (28.559761721753) to get x
100/28.559761721753=x
3.5014297729184=x
x=3.5014297729184

now we have:
364.28 is 3.5014297729184% of 10403.75