163.67 is what percent of 1624.33 - 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 1624.33 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 1624.33, so we can write it down as 100%=1624.33.
4. We know, that x% equals 163.67 of the output value, so we can write it down as x%=163.67.
5. Now we have two simple equations:
1) 100%=1624.33
2) x%=163.67
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%=1624.33/163.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.67 is what percent of 1624.33

100%/x%=1624.33/163.67
(100/x)*x=(1624.33/163.67)*x       - we multiply both sides of the equation by x
100=9.9244210912201*x       - we divide both sides of the equation by (9.9244210912201) to get x
100/9.9244210912201=x
10.076154475999=x
x=10.076154475999

now we have:
163.67 is 10.076154475999% of 1624.33