232.55 is what percent of 486.86 - 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 486.86 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 486.86, so we can write it down as 100%=486.86.
4. We know, that x% equals 232.55 of the output value, so we can write it down as x%=232.55.
5. Now we have two simple equations:
1) 100%=486.86
2) x%=232.55
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%=486.86/232.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 232.55 is what percent of 486.86

100%/x%=486.86/232.55
(100/x)*x=(486.86/232.55)*x       - we multiply both sides of the equation by x
100=2.0935712749946*x       - we divide both sides of the equation by (2.0935712749946) to get x
100/2.0935712749946=x
47.765271330567=x
x=47.765271330567

now we have:
232.55 is 47.765271330567% of 486.86