364.78 is what percent of 9791.84 - 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 9791.84 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 9791.84, so we can write it down as 100%=9791.84.
4. We know, that x% equals 364.78 of the output value, so we can write it down as x%=364.78.
5. Now we have two simple equations:
1) 100%=9791.84
2) x%=364.78
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%=9791.84/364.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.78 is what percent of 9791.84

100%/x%=9791.84/364.78
(100/x)*x=(9791.84/364.78)*x       - we multiply both sides of the equation by x
100=26.843138329952*x       - we divide both sides of the equation by (26.843138329952) to get x
100/26.843138329952=x
3.7253468193925=x
x=3.7253468193925

now we have:
364.78 is 3.7253468193925% of 9791.84