50.86 is what percent of 230.12 - 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 230.12 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 230.12, so we can write it down as 100%=230.12.
4. We know, that x% equals 50.86 of the output value, so we can write it down as x%=50.86.
5. Now we have two simple equations:
1) 100%=230.12
2) x%=50.86
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%=230.12/50.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.86 is what percent of 230.12

100%/x%=230.12/50.86
(100/x)*x=(230.12/50.86)*x       - we multiply both sides of the equation by x
100=4.5245772709398*x       - we divide both sides of the equation by (4.5245772709398) to get x
100/4.5245772709398=x
22.101512254476=x
x=22.101512254476

now we have:
50.86 is 22.101512254476% of 230.12