74 is what percent of 1872 - 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 1872 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 1872, so we can write it down as 100%=1872.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=1872
2) x%=74
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%=1872/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 1872

100%/x%=1872/74
(100/x)*x=(1872/74)*x       - we multiply both sides of the equation by x
100=25.297297297297*x       - we divide both sides of the equation by (25.297297297297) to get x
100/25.297297297297=x
3.9529914529915=x
x=3.9529914529915

now we have:
74 is 3.9529914529915% of 1872