2.05 is what percent of 3.37 - 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 3.37 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 3.37, so we can write it down as 100%=3.37.
4. We know, that x% equals 2.05 of the output value, so we can write it down as x%=2.05.
5. Now we have two simple equations:
1) 100%=3.37
2) x%=2.05
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%=3.37/2.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.05 is what percent of 3.37

100%/x%=3.37/2.05
(100/x)*x=(3.37/2.05)*x       - we multiply both sides of the equation by x
100=1.6439024390244*x       - we divide both sides of the equation by (1.6439024390244) to get x
100/1.6439024390244=x
60.830860534125=x
x=60.830860534125

now we have:
2.05 is 60.830860534125% of 3.37