349.9 is what percent of 460 - 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 460 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 460, so we can write it down as 100%=460.
4. We know, that x% equals 349.9 of the output value, so we can write it down as x%=349.9.
5. Now we have two simple equations:
1) 100%=460
2) x%=349.9
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%=460/349.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 349.9 is what percent of 460

100%/x%=460/349.9
(100/x)*x=(460/349.9)*x       - we multiply both sides of the equation by x
100=1.3146613318091*x       - we divide both sides of the equation by (1.3146613318091) to get x
100/1.3146613318091=x
76.065217391304=x
x=76.065217391304

now we have:
349.9 is 76.065217391304% of 460