3.35 is what percent of 106.02 - 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 106.02 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 106.02, so we can write it down as 100%=106.02.
4. We know, that x% equals 3.35 of the output value, so we can write it down as x%=3.35.
5. Now we have two simple equations:
1) 100%=106.02
2) x%=3.35
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%=106.02/3.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.35 is what percent of 106.02

100%/x%=106.02/3.35
(100/x)*x=(106.02/3.35)*x       - we multiply both sides of the equation by x
100=31.64776119403*x       - we divide both sides of the equation by (31.64776119403) to get x
100/31.64776119403=x
3.1597811733635=x
x=3.1597811733635

now we have:
3.35 is 3.1597811733635% of 106.02