364.32 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 364.32 of the output value, so we can write it down as x%=364.32.
5. Now we have two simple equations:
1) 100%=100
2) x%=364.32
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%=100/364.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.32 is what percent of 100

100%/x%=100/364.32
(100/x)*x=(100/364.32)*x       - we multiply both sides of the equation by x
100=0.27448397013614*x       - we divide both sides of the equation by (0.27448397013614) to get x
100/0.27448397013614=x
364.32=x
x=364.32

now we have:
364.32 is 364.32% of 100