43.86 is what percent of 54.82 - 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 54.82 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 54.82, so we can write it down as 100%=54.82.
4. We know, that x% equals 43.86 of the output value, so we can write it down as x%=43.86.
5. Now we have two simple equations:
1) 100%=54.82
2) x%=43.86
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%=54.82/43.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.86 is what percent of 54.82

100%/x%=54.82/43.86
(100/x)*x=(54.82/43.86)*x       - we multiply both sides of the equation by x
100=1.249886000912*x       - we divide both sides of the equation by (1.249886000912) to get x
100/1.249886000912=x
80.007296607078=x
x=80.007296607078

now we have:
43.86 is 80.007296607078% of 54.82