102.75 is what percent of 0.0275 - 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 0.0275 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 0.0275, so we can write it down as 100%=0.0275.
4. We know, that x% equals 102.75 of the output value, so we can write it down as x%=102.75.
5. Now we have two simple equations:
1) 100%=0.0275
2) x%=102.75
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%=0.0275/102.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.75 is what percent of 0.0275

100%/x%=0.0275/102.75
(100/x)*x=(0.0275/102.75)*x       - we multiply both sides of the equation by x
100=0.0002676399026764*x       - we divide both sides of the equation by (0.0002676399026764) to get x
100/0.0002676399026764=x
373636.36363636=x
x=373636.36363636

now we have:
102.75 is 373636.36363636% of 0.0275