65.78 is what percent of 230 - 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 230 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 230, so we can write it down as 100%=230.
4. We know, that x% equals 65.78 of the output value, so we can write it down as x%=65.78.
5. Now we have two simple equations:
1) 100%=230
2) x%=65.78
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%=230/65.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.78 is what percent of 230

100%/x%=230/65.78
(100/x)*x=(230/65.78)*x       - we multiply both sides of the equation by x
100=3.4965034965035*x       - we divide both sides of the equation by (3.4965034965035) to get x
100/3.4965034965035=x
28.6=x
x=28.6

now we have:
65.78 is 28.6% of 230