1.52 is what percent of 25.83 - 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 25.83 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 25.83, so we can write it down as 100%=25.83.
4. We know, that x% equals 1.52 of the output value, so we can write it down as x%=1.52.
5. Now we have two simple equations:
1) 100%=25.83
2) x%=1.52
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%=25.83/1.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.52 is what percent of 25.83

100%/x%=25.83/1.52
(100/x)*x=(25.83/1.52)*x       - we multiply both sides of the equation by x
100=16.9934210526*x       - we divide both sides of the equation by (16.9934210526) to get x
100/16.9934210526=x
5.88463027487=x
x=5.88463027487

now we have:
1.52 is 5.88463027487% of 25.83