229.7 is what percent of 442.37 - 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 442.37 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 442.37, so we can write it down as 100%=442.37.
4. We know, that x% equals 229.7 of the output value, so we can write it down as x%=229.7.
5. Now we have two simple equations:
1) 100%=442.37
2) x%=229.7
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%=442.37/229.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.7 is what percent of 442.37

100%/x%=442.37/229.7
(100/x)*x=(442.37/229.7)*x       - we multiply both sides of the equation by x
100=1.9258598171528*x       - we divide both sides of the equation by (1.9258598171528) to get x
100/1.9258598171528=x
51.924859280693=x
x=51.924859280693

now we have:
229.7 is 51.924859280693% of 442.37