99 is what percent of 1645 - 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 1645 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 1645, so we can write it down as 100%=1645.
4. We know, that x% equals 99 of the output value, so we can write it down as x%=99.
5. Now we have two simple equations:
1) 100%=1645
2) x%=99
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%=1645/99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99 is what percent of 1645

100%/x%=1645/99
(100/x)*x=(1645/99)*x       - we multiply both sides of the equation by x
100=16.616161616162*x       - we divide both sides of the equation by (16.616161616162) to get x
100/16.616161616162=x
6.0182370820669=x
x=6.0182370820669

now we have:
99 is 6.0182370820669% of 1645