1705.45 is what percent of 1938 - 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 1938 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 1938, so we can write it down as 100%=1938.
4. We know, that x% equals 1705.45 of the output value, so we can write it down as x%=1705.45.
5. Now we have two simple equations:
1) 100%=1938
2) x%=1705.45
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%=1938/1705.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1705.45 is what percent of 1938

100%/x%=1938/1705.45
(100/x)*x=(1938/1705.45)*x       - we multiply both sides of the equation by x
100=1.1363569732329*x       - we divide both sides of the equation by (1.1363569732329) to get x
100/1.1363569732329=x
88.000515995872=x
x=88.000515995872

now we have:
1705.45 is 88.000515995872% of 1938