45.04 is what percent of 900.83 - 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 900.83 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 900.83, so we can write it down as 100%=900.83.
4. We know, that x% equals 45.04 of the output value, so we can write it down as x%=45.04.
5. Now we have two simple equations:
1) 100%=900.83
2) x%=45.04
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%=900.83/45.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.04 is what percent of 900.83

100%/x%=900.83/45.04
(100/x)*x=(900.83/45.04)*x       - we multiply both sides of the equation by x
100=20.0006660746*x       - we divide both sides of the equation by (20.0006660746) to get x
100/20.0006660746=x
4.9998334868954=x
x=4.9998334868954

now we have:
45.04 is 4.9998334868954% of 900.83