32 is what percent of 49510 - 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 49510 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 49510, so we can write it down as 100%=49510.
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%=49510
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%=49510/32
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 49510

100%/x%=49510/32
(100/x)*x=(49510/32)*x       - we multiply both sides of the equation by x
100=1547.1875*x       - we divide both sides of the equation by (1547.1875) to get x
100/1547.1875=x
0.064633407392446=x
x=0.064633407392446

now we have:
32 is 0.064633407392446% of 49510