279.99 is what percent of 229.95 - 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 229.95 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 229.95, so we can write it down as 100%=229.95.
4. We know, that x% equals 279.99 of the output value, so we can write it down as x%=279.99.
5. Now we have two simple equations:
1) 100%=229.95
2) x%=279.99
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%=229.95/279.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 279.99 is what percent of 229.95

100%/x%=229.95/279.99
(100/x)*x=(229.95/279.99)*x       - we multiply both sides of the equation by x
100=0.82127933140469*x       - we divide both sides of the equation by (0.82127933140469) to get x
100/0.82127933140469=x
121.76125244618=x
x=121.76125244618

now we have:
279.99 is 121.76125244618% of 229.95