229.48 is what percent of 573.49 - 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 573.49 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 573.49, so we can write it down as 100%=573.49.
4. We know, that x% equals 229.48 of the output value, so we can write it down as x%=229.48.
5. Now we have two simple equations:
1) 100%=573.49
2) x%=229.48
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%=573.49/229.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.48 is what percent of 573.49

100%/x%=573.49/229.48
(100/x)*x=(573.49/229.48)*x       - we multiply both sides of the equation by x
100=2.4990848875719*x       - we divide both sides of the equation by (2.4990848875719) to get x
100/2.4990848875719=x
40.014647160369=x
x=40.014647160369

now we have:
229.48 is 40.014647160369% of 573.49