829.8 is what percent of 45000 - 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 45000 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 45000, so we can write it down as 100%=45000.
4. We know, that x% equals 829.8 of the output value, so we can write it down as x%=829.8.
5. Now we have two simple equations:
1) 100%=45000
2) x%=829.8
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%=45000/829.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 829.8 is what percent of 45000

100%/x%=45000/829.8
(100/x)*x=(45000/829.8)*x       - we multiply both sides of the equation by x
100=54.229934924078*x       - we divide both sides of the equation by (54.229934924078) to get x
100/54.229934924078=x
1.844=x
x=1.844

now we have:
829.8 is 1.844% of 45000