99.63 is what percent of 1644 - 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 1644 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 1644, so we can write it down as 100%=1644.
4. We know, that x% equals 99.63 of the output value, so we can write it down as x%=99.63.
5. Now we have two simple equations:
1) 100%=1644
2) x%=99.63
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%=1644/99.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.63 is what percent of 1644

100%/x%=1644/99.63
(100/x)*x=(1644/99.63)*x       - we multiply both sides of the equation by x
100=16.501053899428*x       - we divide both sides of the equation by (16.501053899428) to get x
100/16.501053899428=x
6.0602189781022=x
x=6.0602189781022

now we have:
99.63 is 6.0602189781022% of 1644