25.31 is what percent of 29.1 - 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 29.1 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 29.1, so we can write it down as 100%=29.1.
4. We know, that x% equals 25.31 of the output value, so we can write it down as x%=25.31.
5. Now we have two simple equations:
1) 100%=29.1
2) x%=25.31
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%=29.1/25.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.31 is what percent of 29.1

100%/x%=29.1/25.31
(100/x)*x=(29.1/25.31)*x       - we multiply both sides of the equation by x
100=1.1497431845121*x       - we divide both sides of the equation by (1.1497431845121) to get x
100/1.1497431845121=x
86.975945017182=x
x=86.975945017182

now we have:
25.31 is 86.975945017182% of 29.1