4.29 is what percent of 69.25 - 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 69.25 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 69.25, so we can write it down as 100%=69.25.
4. We know, that x% equals 4.29 of the output value, so we can write it down as x%=4.29.
5. Now we have two simple equations:
1) 100%=69.25
2) x%=4.29
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%=69.25/4.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.29 is what percent of 69.25

100%/x%=69.25/4.29
(100/x)*x=(69.25/4.29)*x       - we multiply both sides of the equation by x
100=16.142191142191*x       - we divide both sides of the equation by (16.142191142191) to get x
100/16.142191142191=x
6.1949458483755=x
x=6.1949458483755

now we have:
4.29 is 6.1949458483755% of 69.25