229.4 is what percent of 245.8 - 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 245.8 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 245.8, so we can write it down as 100%=245.8.
4. We know, that x% equals 229.4 of the output value, so we can write it down as x%=229.4.
5. Now we have two simple equations:
1) 100%=245.8
2) x%=229.4
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%=245.8/229.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.4 is what percent of 245.8

100%/x%=245.8/229.4
(100/x)*x=(245.8/229.4)*x       - we multiply both sides of the equation by x
100=1.0714908456844*x       - we divide both sides of the equation by (1.0714908456844) to get x
100/1.0714908456844=x
93.327908868999=x
x=93.327908868999

now we have:
229.4 is 93.327908868999% of 245.8