3.69 is what percent of 3.731 - 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 3.731 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 3.731, so we can write it down as 100%=3.731.
4. We know, that x% equals 3.69 of the output value, so we can write it down as x%=3.69.
5. Now we have two simple equations:
1) 100%=3.731
2) x%=3.69
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%=3.731/3.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.69 is what percent of 3.731

100%/x%=3.731/3.69
(100/x)*x=(3.731/3.69)*x       - we multiply both sides of the equation by x
100=1.0111111111111*x       - we divide both sides of the equation by (1.0111111111111) to get x
100/1.0111111111111=x
98.901098901099=x
x=98.901098901099

now we have:
3.69 is 98.901098901099% of 3.731