5.12 is what percent of 5.27 - 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 5.27 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 5.27, so we can write it down as 100%=5.27.
4. We know, that x% equals 5.12 of the output value, so we can write it down as x%=5.12.
5. Now we have two simple equations:
1) 100%=5.27
2) x%=5.12
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%=5.27/5.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.12 is what percent of 5.27

100%/x%=5.27/5.12
(100/x)*x=(5.27/5.12)*x       - we multiply both sides of the equation by x
100=1.029296875*x       - we divide both sides of the equation by (1.029296875) to get x
100/1.029296875=x
97.153700189753=x
x=97.153700189753

now we have:
5.12 is 97.153700189753% of 5.27