32.9 is what percent of 44.6 - 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 44.6 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 44.6, so we can write it down as 100%=44.6.
4. We know, that x% equals 32.9 of the output value, so we can write it down as x%=32.9.
5. Now we have two simple equations:
1) 100%=44.6
2) x%=32.9
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%=44.6/32.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.9 is what percent of 44.6

100%/x%=44.6/32.9
(100/x)*x=(44.6/32.9)*x       - we multiply both sides of the equation by x
100=1.355623100304*x       - we divide both sides of the equation by (1.355623100304) to get x
100/1.355623100304=x
73.766816143498=x
x=73.766816143498

now we have:
32.9 is 73.766816143498% of 44.6