31.86 is what percent of 32.05 - 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 32.05 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 32.05, so we can write it down as 100%=32.05.
4. We know, that x% equals 31.86 of the output value, so we can write it down as x%=31.86.
5. Now we have two simple equations:
1) 100%=32.05
2) x%=31.86
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%=32.05/31.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.86 is what percent of 32.05

100%/x%=32.05/31.86
(100/x)*x=(32.05/31.86)*x       - we multiply both sides of the equation by x
100=1.0059635907094*x       - we divide both sides of the equation by (1.0059635907094) to get x
100/1.0059635907094=x
99.407176287051=x
x=99.407176287051

now we have:
31.86 is 99.407176287051% of 32.05