153.8 is what percent of 747.53 - 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 747.53 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 747.53, so we can write it down as 100%=747.53.
4. We know, that x% equals 153.8 of the output value, so we can write it down as x%=153.8.
5. Now we have two simple equations:
1) 100%=747.53
2) x%=153.8
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%=747.53/153.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 153.8 is what percent of 747.53

100%/x%=747.53/153.8
(100/x)*x=(747.53/153.8)*x       - we multiply both sides of the equation by x
100=4.8604031209363*x       - we divide both sides of the equation by (4.8604031209363) to get x
100/4.8604031209363=x
20.574425106685=x
x=20.574425106685

now we have:
153.8 is 20.574425106685% of 747.53