67.25 is what percent of 1940 - 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 1940 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 1940, so we can write it down as 100%=1940.
4. We know, that x% equals 67.25 of the output value, so we can write it down as x%=67.25.
5. Now we have two simple equations:
1) 100%=1940
2) x%=67.25
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%=1940/67.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.25 is what percent of 1940

100%/x%=1940/67.25
(100/x)*x=(1940/67.25)*x       - we multiply both sides of the equation by x
100=28.847583643123*x       - we divide both sides of the equation by (28.847583643123) to get x
100/28.847583643123=x
3.4664948453608=x
x=3.4664948453608

now we have:
67.25 is 3.4664948453608% of 1940