27.32 is what percent of 39.68 - 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 39.68 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 39.68, so we can write it down as 100%=39.68.
4. We know, that x% equals 27.32 of the output value, so we can write it down as x%=27.32.
5. Now we have two simple equations:
1) 100%=39.68
2) x%=27.32
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%=39.68/27.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.32 is what percent of 39.68

100%/x%=39.68/27.32
(100/x)*x=(39.68/27.32)*x       - we multiply both sides of the equation by x
100=1.4524158125915*x       - we divide both sides of the equation by (1.4524158125915) to get x
100/1.4524158125915=x
68.850806451613=x
x=68.850806451613

now we have:
27.32 is 68.850806451613% of 39.68