76.1 is what percent of 52 - 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 52 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 52, so we can write it down as 100%=52.
4. We know, that x% equals 76.1 of the output value, so we can write it down as x%=76.1.
5. Now we have two simple equations:
1) 100%=52
2) x%=76.1
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%=52/76.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.1 is what percent of 52

100%/x%=52/76.1
(100/x)*x=(52/76.1)*x       - we multiply both sides of the equation by x
100=0.68331143232589*x       - we divide both sides of the equation by (0.68331143232589) to get x
100/0.68331143232589=x
146.34615384615=x
x=146.34615384615

now we have:
76.1 is 146.34615384615% of 52