32 is what percent of 173000 - 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 173000 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 173000, so we can write it down as 100%=173000.
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%=173000
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%=173000/32
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 173000

100%/x%=173000/32
(100/x)*x=(173000/32)*x       - we multiply both sides of the equation by x
100=5406.25*x       - we divide both sides of the equation by (5406.25) to get x
100/5406.25=x
0.01849710982659=x
x=0.01849710982659

now we have:
32 is 0.01849710982659% of 173000