49.43 is what percent of 93.53 - 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 93.53 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 93.53, so we can write it down as 100%=93.53.
4. We know, that x% equals 49.43 of the output value, so we can write it down as x%=49.43.
5. Now we have two simple equations:
1) 100%=93.53
2) x%=49.43
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%=93.53/49.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.43 is what percent of 93.53

100%/x%=93.53/49.43
(100/x)*x=(93.53/49.43)*x       - we multiply both sides of the equation by x
100=1.8921707465102*x       - we divide both sides of the equation by (1.8921707465102) to get x
100/1.8921707465102=x
52.849353148722=x
x=52.849353148722

now we have:
49.43 is 52.849353148722% of 93.53