75.96 is what percent of 75.51 - 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 75.51 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 75.51, so we can write it down as 100%=75.51.
4. We know, that x% equals 75.96 of the output value, so we can write it down as x%=75.96.
5. Now we have two simple equations:
1) 100%=75.51
2) x%=75.96
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%=75.51/75.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.96 is what percent of 75.51

100%/x%=75.51/75.96
(100/x)*x=(75.51/75.96)*x       - we multiply both sides of the equation by x
100=0.99407582938389*x       - we divide both sides of the equation by (0.99407582938389) to get x
100/0.99407582938389=x
100.59594755662=x
x=100.59594755662

now we have:
75.96 is 100.59594755662% of 75.51