46.9 is what percent of 32 - 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 32 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 32, so we can write it down as 100%=32.
4. We know, that x% equals 46.9 of the output value, so we can write it down as x%=46.9.
5. Now we have two simple equations:
1) 100%=32
2) x%=46.9
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%=32/46.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.9 is what percent of 32

100%/x%=32/46.9
(100/x)*x=(32/46.9)*x       - we multiply both sides of the equation by x
100=0.68230277185501*x       - we divide both sides of the equation by (0.68230277185501) to get x
100/0.68230277185501=x
146.5625=x
x=146.5625

now we have:
46.9 is 146.5625% of 32