43.74 is what percent of 705.5 - 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 705.5 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 705.5, so we can write it down as 100%=705.5.
4. We know, that x% equals 43.74 of the output value, so we can write it down as x%=43.74.
5. Now we have two simple equations:
1) 100%=705.5
2) x%=43.74
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%=705.5/43.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.74 is what percent of 705.5

100%/x%=705.5/43.74
(100/x)*x=(705.5/43.74)*x       - we multiply both sides of the equation by x
100=16.129401005944*x       - we divide both sides of the equation by (16.129401005944) to get x
100/16.129401005944=x
6.1998582565556=x
x=6.1998582565556

now we have:
43.74 is 6.1998582565556% of 705.5