32 is what percent of 1625 - 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 1625 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 1625, so we can write it down as 100%=1625.
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%=1625
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%=1625/32
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 1625

100%/x%=1625/32
(100/x)*x=(1625/32)*x       - we multiply both sides of the equation by x
100=50.78125*x       - we divide both sides of the equation by (50.78125) to get x
100/50.78125=x
1.9692307692308=x
x=1.9692307692308

now we have:
32 is 1.9692307692308% of 1625