65.78 is what percent of 295.78 - 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 295.78 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 295.78, so we can write it down as 100%=295.78.
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%=295.78
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%=295.78/65.78
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 295.78

100%/x%=295.78/65.78
(100/x)*x=(295.78/65.78)*x       - we multiply both sides of the equation by x
100=4.4965034965035*x       - we divide both sides of the equation by (4.4965034965035) to get x
100/4.4965034965035=x
22.239502332815=x
x=22.239502332815

now we have:
65.78 is 22.239502332815% of 295.78