345.4 is what percent of 408.5 - 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 408.5 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 408.5, so we can write it down as 100%=408.5.
4. We know, that x% equals 345.4 of the output value, so we can write it down as x%=345.4.
5. Now we have two simple equations:
1) 100%=408.5
2) x%=345.4
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%=408.5/345.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.4 is what percent of 408.5

100%/x%=408.5/345.4
(100/x)*x=(408.5/345.4)*x       - we multiply both sides of the equation by x
100=1.1826867400116*x       - we divide both sides of the equation by (1.1826867400116) to get x
100/1.1826867400116=x
84.553243574051=x
x=84.553243574051

now we have:
345.4 is 84.553243574051% of 408.5