42.47 is what percent of 25.93 - 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 25.93 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 25.93, so we can write it down as 100%=25.93.
4. We know, that x% equals 42.47 of the output value, so we can write it down as x%=42.47.
5. Now we have two simple equations:
1) 100%=25.93
2) x%=42.47
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%=25.93/42.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.47 is what percent of 25.93

100%/x%=25.93/42.47
(100/x)*x=(25.93/42.47)*x       - we multiply both sides of the equation by x
100=0.6105486225571*x       - we divide both sides of the equation by (0.6105486225571) to get x
100/0.6105486225571=x
163.78711916699=x
x=163.78711916699

now we have:
42.47 is 163.78711916699% of 25.93