346.5 is what percent of 24.004 - 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 24.004 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 24.004, so we can write it down as 100%=24.004.
4. We know, that x% equals 346.5 of the output value, so we can write it down as x%=346.5.
5. Now we have two simple equations:
1) 100%=24.004
2) x%=346.5
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%=24.004/346.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 346.5 is what percent of 24.004

100%/x%=24.004/346.5
(100/x)*x=(24.004/346.5)*x       - we multiply both sides of the equation by x
100=0.069275613275613*x       - we divide both sides of the equation by (0.069275613275613) to get x
100/0.069275613275613=x
1443.5094150975=x
x=1443.5094150975

now we have:
346.5 is 1443.5094150975% of 24.004