4.45 is what percent of 9.45 - 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 9.45 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 9.45, so we can write it down as 100%=9.45.
4. We know, that x% equals 4.45 of the output value, so we can write it down as x%=4.45.
5. Now we have two simple equations:
1) 100%=9.45
2) x%=4.45
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%=9.45/4.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.45 is what percent of 9.45

100%/x%=9.45/4.45
(100/x)*x=(9.45/4.45)*x       - we multiply both sides of the equation by x
100=2.123595505618*x       - we divide both sides of the equation by (2.123595505618) to get x
100/2.123595505618=x
47.089947089947=x
x=47.089947089947

now we have:
4.45 is 47.089947089947% of 9.45