230.5 is what percent of 693.46 - 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 693.46 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 693.46, so we can write it down as 100%=693.46.
4. We know, that x% equals 230.5 of the output value, so we can write it down as x%=230.5.
5. Now we have two simple equations:
1) 100%=693.46
2) x%=230.5
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%=693.46/230.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.5 is what percent of 693.46

100%/x%=693.46/230.5
(100/x)*x=(693.46/230.5)*x       - we multiply both sides of the equation by x
100=3.0085032537961*x       - we divide both sides of the equation by (3.0085032537961) to get x
100/3.0085032537961=x
33.239119776195=x
x=33.239119776195

now we have:
230.5 is 33.239119776195% of 693.46