35.9 is what percent of 43.7 - 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 43.7 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 43.7, so we can write it down as 100%=43.7.
4. We know, that x% equals 35.9 of the output value, so we can write it down as x%=35.9.
5. Now we have two simple equations:
1) 100%=43.7
2) x%=35.9
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%=43.7/35.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.9 is what percent of 43.7

100%/x%=43.7/35.9
(100/x)*x=(43.7/35.9)*x       - we multiply both sides of the equation by x
100=1.2172701949861*x       - we divide both sides of the equation by (1.2172701949861) to get x
100/1.2172701949861=x
82.151029748284=x
x=82.151029748284

now we have:
35.9 is 82.151029748284% of 43.7