15.45 is what percent of 43.95 - 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 43.95 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 43.95, so we can write it down as 100%=43.95.
4. We know, that x% equals 15.45 of the output value, so we can write it down as x%=15.45.
5. Now we have two simple equations:
1) 100%=43.95
2) x%=15.45
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%=43.95/15.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.45 is what percent of 43.95

100%/x%=43.95/15.45
(100/x)*x=(43.95/15.45)*x       - we multiply both sides of the equation by x
100=2.8446601941748*x       - we divide both sides of the equation by (2.8446601941748) to get x
100/2.8446601941748=x
35.153583617747=x
x=35.153583617747

now we have:
15.45 is 35.153583617747% of 43.95