43.87 is what percent of 106 - 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 106 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 106, so we can write it down as 100%=106.
4. We know, that x% equals 43.87 of the output value, so we can write it down as x%=43.87.
5. Now we have two simple equations:
1) 100%=106
2) x%=43.87
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%=106/43.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.87 is what percent of 106

100%/x%=106/43.87
(100/x)*x=(106/43.87)*x       - we multiply both sides of the equation by x
100=2.4162297697743*x       - we divide both sides of the equation by (2.4162297697743) to get x
100/2.4162297697743=x
41.38679245283=x
x=41.38679245283

now we have:
43.87 is 41.38679245283% of 106