3.05 is what percent of 52.24 - 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 52.24 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 52.24, so we can write it down as 100%=52.24.
4. We know, that x% equals 3.05 of the output value, so we can write it down as x%=3.05.
5. Now we have two simple equations:
1) 100%=52.24
2) x%=3.05
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%=52.24/3.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.05 is what percent of 52.24

100%/x%=52.24/3.05
(100/x)*x=(52.24/3.05)*x       - we multiply both sides of the equation by x
100=17.127868852459*x       - we divide both sides of the equation by (17.127868852459) to get x
100/17.127868852459=x
5.8384379785605=x
x=5.8384379785605

now we have:
3.05 is 5.8384379785605% of 52.24