44.95 is what percent of 53.95 - 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 53.95 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 53.95, so we can write it down as 100%=53.95.
4. We know, that x% equals 44.95 of the output value, so we can write it down as x%=44.95.
5. Now we have two simple equations:
1) 100%=53.95
2) x%=44.95
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%=53.95/44.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.95 is what percent of 53.95

100%/x%=53.95/44.95
(100/x)*x=(53.95/44.95)*x       - we multiply both sides of the equation by x
100=1.2002224694105*x       - we divide both sides of the equation by (1.2002224694105) to get x
100/1.2002224694105=x
83.317886932345=x
x=83.317886932345

now we have:
44.95 is 83.317886932345% of 53.95