46.4 is what percent of 178 - 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 178 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 178, so we can write it down as 100%=178.
4. We know, that x% equals 46.4 of the output value, so we can write it down as x%=46.4.
5. Now we have two simple equations:
1) 100%=178
2) x%=46.4
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%=178/46.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.4 is what percent of 178

100%/x%=178/46.4
(100/x)*x=(178/46.4)*x       - we multiply both sides of the equation by x
100=3.8362068965517*x       - we divide both sides of the equation by (3.8362068965517) to get x
100/3.8362068965517=x
26.067415730337=x
x=26.067415730337

now we have:
46.4 is 26.067415730337% of 178