47.66 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 47.66 of the output value, so we can write it down as x%=47.66.
5. Now we have two simple equations:
1) 100%=1980
2) x%=47.66
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%=1980/47.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.66 is what percent of 1980

100%/x%=1980/47.66
(100/x)*x=(1980/47.66)*x       - we multiply both sides of the equation by x
100=41.544271926144*x       - we divide both sides of the equation by (41.544271926144) to get x
100/41.544271926144=x
2.4070707070707=x
x=2.4070707070707

now we have:
47.66 is 2.4070707070707% of 1980