241.42 is what percent of 43.65 - 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 43.65 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 43.65, so we can write it down as 100%=43.65.
4. We know, that x% equals 241.42 of the output value, so we can write it down as x%=241.42.
5. Now we have two simple equations:
1) 100%=43.65
2) x%=241.42
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%=43.65/241.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 241.42 is what percent of 43.65

100%/x%=43.65/241.42
(100/x)*x=(43.65/241.42)*x       - we multiply both sides of the equation by x
100=0.18080523568884*x       - we divide both sides of the equation by (0.18080523568884) to get x
100/0.18080523568884=x
553.08132875143=x
x=553.08132875143

now we have:
241.42 is 553.08132875143% of 43.65