51.1 is what percent of 241.8 - 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 241.8 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 241.8, so we can write it down as 100%=241.8.
4. We know, that x% equals 51.1 of the output value, so we can write it down as x%=51.1.
5. Now we have two simple equations:
1) 100%=241.8
2) x%=51.1
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%=241.8/51.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.1 is what percent of 241.8

100%/x%=241.8/51.1
(100/x)*x=(241.8/51.1)*x       - we multiply both sides of the equation by x
100=4.7318982387476*x       - we divide both sides of the equation by (4.7318982387476) to get x
100/4.7318982387476=x
21.133167907361=x
x=21.133167907361

now we have:
51.1 is 21.133167907361% of 241.8