46.6 is what percent of 675.6 - 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 675.6 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 675.6, so we can write it down as 100%=675.6.
4. We know, that x% equals 46.6 of the output value, so we can write it down as x%=46.6.
5. Now we have two simple equations:
1) 100%=675.6
2) x%=46.6
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%=675.6/46.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.6 is what percent of 675.6

100%/x%=675.6/46.6
(100/x)*x=(675.6/46.6)*x       - we multiply both sides of the equation by x
100=14.497854077253*x       - we divide both sides of the equation by (14.497854077253) to get x
100/14.497854077253=x
6.8975725281231=x
x=6.8975725281231

now we have:
46.6 is 6.8975725281231% of 675.6