31.84 is what percent of 32 - 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 32 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 32, so we can write it down as 100%=32.
4. We know, that x% equals 31.84 of the output value, so we can write it down as x%=31.84.
5. Now we have two simple equations:
1) 100%=32
2) x%=31.84
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%=32/31.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.84 is what percent of 32

100%/x%=32/31.84
(100/x)*x=(32/31.84)*x       - we multiply both sides of the equation by x
100=1.0050251256281*x       - we divide both sides of the equation by (1.0050251256281) to get x
100/1.0050251256281=x
99.5=x
x=99.5

now we have:
31.84 is 99.5% of 32