32 is what percent of 5.92 - 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 5.92 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 5.92, so we can write it down as 100%=5.92.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=5.92
2) x%=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%=5.92/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 5.92

100%/x%=5.92/32
(100/x)*x=(5.92/32)*x       - we multiply both sides of the equation by x
100=0.185*x       - we divide both sides of the equation by (0.185) to get x
100/0.185=x
540.54054054054=x
x=540.54054054054

now we have:
32 is 540.54054054054% of 5.92