100.52 is what percent of 1423.08 - 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 1423.08 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 1423.08, so we can write it down as 100%=1423.08.
4. We know, that x% equals 100.52 of the output value, so we can write it down as x%=100.52.
5. Now we have two simple equations:
1) 100%=1423.08
2) x%=100.52
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%=1423.08/100.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.52 is what percent of 1423.08

100%/x%=1423.08/100.52
(100/x)*x=(1423.08/100.52)*x       - we multiply both sides of the equation by x
100=14.157182650219*x       - we divide both sides of the equation by (14.157182650219) to get x
100/14.157182650219=x
7.0635522950221=x
x=7.0635522950221

now we have:
100.52 is 7.0635522950221% of 1423.08