2823.69 is what percent of 120829.56 - 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 120829.56 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 120829.56, so we can write it down as 100%=120829.56.
4. We know, that x% equals 2823.69 of the output value, so we can write it down as x%=2823.69.
5. Now we have two simple equations:
1) 100%=120829.56
2) x%=2823.69
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%=120829.56/2823.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2823.69 is what percent of 120829.56

100%/x%=120829.56/2823.69
(100/x)*x=(120829.56/2823.69)*x       - we multiply both sides of the equation by x
100=42.791368740903*x       - we divide both sides of the equation by (42.791368740903) to get x
100/42.791368740903=x
2.3369198729185=x
x=2.3369198729185

now we have:
2823.69 is 2.3369198729185% of 120829.56