163.35 is what percent of 1633.47 - 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 1633.47 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 1633.47, so we can write it down as 100%=1633.47.
4. We know, that x% equals 163.35 of the output value, so we can write it down as x%=163.35.
5. Now we have two simple equations:
1) 100%=1633.47
2) x%=163.35
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%=1633.47/163.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.35 is what percent of 1633.47

100%/x%=1633.47/163.35
(100/x)*x=(1633.47/163.35)*x       - we multiply both sides of the equation by x
100=9.9998163452709*x       - we divide both sides of the equation by (9.9998163452709) to get x
100/9.9998163452709=x
10.000183658102=x
x=10.000183658102

now we have:
163.35 is 10.000183658102% of 1633.47