340.08 is what percent of 445.41 - 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 445.41 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 445.41, so we can write it down as 100%=445.41.
4. We know, that x% equals 340.08 of the output value, so we can write it down as x%=340.08.
5. Now we have two simple equations:
1) 100%=445.41
2) x%=340.08
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%=445.41/340.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 340.08 is what percent of 445.41

100%/x%=445.41/340.08
(100/x)*x=(445.41/340.08)*x       - we multiply both sides of the equation by x
100=1.3097212420607*x       - we divide both sides of the equation by (1.3097212420607) to get x
100/1.3097212420607=x
76.352125008419=x
x=76.352125008419

now we have:
340.08 is 76.352125008419% of 445.41