138.37 is what percent of 1980 - 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 1980 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 1980, so we can write it down as 100%=1980.
4. We know, that x% equals 138.37 of the output value, so we can write it down as x%=138.37.
5. Now we have two simple equations:
1) 100%=1980
2) x%=138.37
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%=1980/138.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.37 is what percent of 1980

100%/x%=1980/138.37
(100/x)*x=(1980/138.37)*x       - we multiply both sides of the equation by x
100=14.309460143095*x       - we divide both sides of the equation by (14.309460143095) to get x
100/14.309460143095=x
6.9883838383838=x
x=6.9883838383838

now we have:
138.37 is 6.9883838383838% of 1980