43.77 is what percent of 1945 - 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 1945 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 1945, so we can write it down as 100%=1945.
4. We know, that x% equals 43.77 of the output value, so we can write it down as x%=43.77.
5. Now we have two simple equations:
1) 100%=1945
2) x%=43.77
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%=1945/43.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.77 is what percent of 1945

100%/x%=1945/43.77
(100/x)*x=(1945/43.77)*x       - we multiply both sides of the equation by x
100=44.436828878227*x       - we divide both sides of the equation by (44.436828878227) to get x
100/44.436828878227=x
2.2503856041131=x
x=2.2503856041131

now we have:
43.77 is 2.2503856041131% of 1945