43.74 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 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%=53.95
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%=53.95/43.74
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 53.95

100%/x%=53.95/43.74
(100/x)*x=(53.95/43.74)*x       - we multiply both sides of the equation by x
100=1.2334247828075*x       - we divide both sides of the equation by (1.2334247828075) to get x
100/1.2334247828075=x
81.075069508804=x
x=81.075069508804

now we have:
43.74 is 81.075069508804% of 53.95