4.25 is what percent of 13.4 - 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 13.4 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 13.4, so we can write it down as 100%=13.4.
4. We know, that x% equals 4.25 of the output value, so we can write it down as x%=4.25.
5. Now we have two simple equations:
1) 100%=13.4
2) x%=4.25
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%=13.4/4.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.25 is what percent of 13.4

100%/x%=13.4/4.25
(100/x)*x=(13.4/4.25)*x       - we multiply both sides of the equation by x
100=3.1529411764706*x       - we divide both sides of the equation by (3.1529411764706) to get x
100/3.1529411764706=x
31.716417910448=x
x=31.716417910448

now we have:
4.25 is 31.716417910448% of 13.4