230.46 is what percent of 1663 - 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 1663 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 1663, so we can write it down as 100%=1663.
4. We know, that x% equals 230.46 of the output value, so we can write it down as x%=230.46.
5. Now we have two simple equations:
1) 100%=1663
2) x%=230.46
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%=1663/230.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.46 is what percent of 1663

100%/x%=1663/230.46
(100/x)*x=(1663/230.46)*x       - we multiply both sides of the equation by x
100=7.2160027770546*x       - we divide both sides of the equation by (7.2160027770546) to get x
100/7.2160027770546=x
13.858087793145=x
x=13.858087793145

now we have:
230.46 is 13.858087793145% of 1663