43.75 is what percent of 242.75 - 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 242.75 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 242.75, so we can write it down as 100%=242.75.
4. We know, that x% equals 43.75 of the output value, so we can write it down as x%=43.75.
5. Now we have two simple equations:
1) 100%=242.75
2) x%=43.75
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%=242.75/43.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.75 is what percent of 242.75

100%/x%=242.75/43.75
(100/x)*x=(242.75/43.75)*x       - we multiply both sides of the equation by x
100=5.5485714285714*x       - we divide both sides of the equation by (5.5485714285714) to get x
100/5.5485714285714=x
18.022657054583=x
x=18.022657054583

now we have:
43.75 is 18.022657054583% of 242.75