47.45 is what percent of 1983 - 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 1983 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 1983, so we can write it down as 100%=1983.
4. We know, that x% equals 47.45 of the output value, so we can write it down as x%=47.45.
5. Now we have two simple equations:
1) 100%=1983
2) x%=47.45
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%=1983/47.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.45 is what percent of 1983

100%/x%=1983/47.45
(100/x)*x=(1983/47.45)*x       - we multiply both sides of the equation by x
100=41.791359325606*x       - we divide both sides of the equation by (41.791359325606) to get x
100/41.791359325606=x
2.3928391326273=x
x=2.3928391326273

now we have:
47.45 is 2.3928391326273% of 1983