181.46 is what percent of 1997.5 - 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 1997.5 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 1997.5, so we can write it down as 100%=1997.5.
4. We know, that x% equals 181.46 of the output value, so we can write it down as x%=181.46.
5. Now we have two simple equations:
1) 100%=1997.5
2) x%=181.46
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%=1997.5/181.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 181.46 is what percent of 1997.5

100%/x%=1997.5/181.46
(100/x)*x=(1997.5/181.46)*x       - we multiply both sides of the equation by x
100=11.007935633197*x       - we divide both sides of the equation by (11.007935633197) to get x
100/11.007935633197=x
9.0843554443054=x
x=9.0843554443054

now we have:
181.46 is 9.0843554443054% of 1997.5