43.75 is what percent of 1240 - 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 1240 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 1240, so we can write it down as 100%=1240.
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%=1240
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%=1240/43.75
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 1240

100%/x%=1240/43.75
(100/x)*x=(1240/43.75)*x       - we multiply both sides of the equation by x
100=28.342857142857*x       - we divide both sides of the equation by (28.342857142857) to get x
100/28.342857142857=x
3.5282258064516=x
x=3.5282258064516

now we have:
43.75 is 3.5282258064516% of 1240