278.95 is what percent of 299.95 - 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 299.95 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 299.95, so we can write it down as 100%=299.95.
4. We know, that x% equals 278.95 of the output value, so we can write it down as x%=278.95.
5. Now we have two simple equations:
1) 100%=299.95
2) x%=278.95
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%=299.95/278.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 278.95 is what percent of 299.95

100%/x%=299.95/278.95
(100/x)*x=(299.95/278.95)*x       - we multiply both sides of the equation by x
100=1.0752823086575*x       - we divide both sides of the equation by (1.0752823086575) to get x
100/1.0752823086575=x
92.998833138856=x
x=92.998833138856

now we have:
278.95 is 92.998833138856% of 299.95