1.45 is what percent of 19.52 - 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 19.52 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 19.52, so we can write it down as 100%=19.52.
4. We know, that x% equals 1.45 of the output value, so we can write it down as x%=1.45.
5. Now we have two simple equations:
1) 100%=19.52
2) x%=1.45
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%=19.52/1.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.45 is what percent of 19.52

100%/x%=19.52/1.45
(100/x)*x=(19.52/1.45)*x       - we multiply both sides of the equation by x
100=13.462068965517*x       - we divide both sides of the equation by (13.462068965517) to get x
100/13.462068965517=x
7.4282786885246=x
x=7.4282786885246

now we have:
1.45 is 7.4282786885246% of 19.52