100.24 is what percent of 29.31 - 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 29.31 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 29.31, so we can write it down as 100%=29.31.
4. We know, that x% equals 100.24 of the output value, so we can write it down as x%=100.24.
5. Now we have two simple equations:
1) 100%=29.31
2) x%=100.24
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%=29.31/100.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.24 is what percent of 29.31

100%/x%=29.31/100.24
(100/x)*x=(29.31/100.24)*x       - we multiply both sides of the equation by x
100=0.29239824421389*x       - we divide both sides of the equation by (0.29239824421389) to get x
100/0.29239824421389=x
341.99931763903=x
x=341.99931763903

now we have:
100.24 is 341.99931763903% of 29.31