24.53 is what percent of 755.48 - 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 755.48 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 755.48, so we can write it down as 100%=755.48.
4. We know, that x% equals 24.53 of the output value, so we can write it down as x%=24.53.
5. Now we have two simple equations:
1) 100%=755.48
2) x%=24.53
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%=755.48/24.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.53 is what percent of 755.48

100%/x%=755.48/24.53
(100/x)*x=(755.48/24.53)*x       - we multiply both sides of the equation by x
100=30.798206278027*x       - we divide both sides of the equation by (30.798206278027) to get x
100/30.798206278027=x
3.246942341293=x
x=3.246942341293

now we have:
24.53 is 3.246942341293% of 755.48