32 is what percent of 3.261 - 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 3.261 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 3.261, so we can write it down as 100%=3.261.
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%=3.261
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%=3.261/32
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 3.261

100%/x%=3.261/32
(100/x)*x=(3.261/32)*x       - we multiply both sides of the equation by x
100=0.10190625*x       - we divide both sides of the equation by (0.10190625) to get x
100/0.10190625=x
981.29408157007=x
x=981.29408157007

now we have:
32 is 981.29408157007% of 3.261