103.9 is what percent of 229 - 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 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, so we can write it down as 100%=229.
4. We know, that x% equals 103.9 of the output value, so we can write it down as x%=103.9.
5. Now we have two simple equations:
1) 100%=229
2) x%=103.9
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%=229/103.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.9 is what percent of 229

100%/x%=229/103.9
(100/x)*x=(229/103.9)*x       - we multiply both sides of the equation by x
100=2.2040423484119*x       - we divide both sides of the equation by (2.2040423484119) to get x
100/2.2040423484119=x
45.371179039301=x
x=45.371179039301

now we have:
103.9 is 45.371179039301% of 229