43.75 is what percent of 116.75 - 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 116.75 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 116.75, so we can write it down as 100%=116.75.
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%=116.75
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%=116.75/43.75
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 116.75

100%/x%=116.75/43.75
(100/x)*x=(116.75/43.75)*x       - we multiply both sides of the equation by x
100=2.6685714285714*x       - we divide both sides of the equation by (2.6685714285714) to get x
100/2.6685714285714=x
37.473233404711=x
x=37.473233404711

now we have:
43.75 is 37.473233404711% of 116.75