165.51 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 165.51 of the output value, so we can write it down as x%=165.51.
5. Now we have two simple equations:
1) 100%=1000
2) x%=165.51
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%=1000/165.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.51 is what percent of 1000

100%/x%=1000/165.51
(100/x)*x=(1000/165.51)*x       - we multiply both sides of the equation by x
100=6.041931001148*x       - we divide both sides of the equation by (6.041931001148) to get x
100/6.041931001148=x
16.551=x
x=16.551

now we have:
165.51 is 16.551% of 1000