5.25 is what percent of 74.94 - 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 74.94 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 74.94, so we can write it down as 100%=74.94.
4. We know, that x% equals 5.25 of the output value, so we can write it down as x%=5.25.
5. Now we have two simple equations:
1) 100%=74.94
2) x%=5.25
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%=74.94/5.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.25 is what percent of 74.94

100%/x%=74.94/5.25
(100/x)*x=(74.94/5.25)*x       - we multiply both sides of the equation by x
100=14.274285714286*x       - we divide both sides of the equation by (14.274285714286) to get x
100/14.274285714286=x
7.0056044835869=x
x=7.0056044835869

now we have:
5.25 is 7.0056044835869% of 74.94