365.42 is what percent of 1874 - 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 1874 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 1874, so we can write it down as 100%=1874.
4. We know, that x% equals 365.42 of the output value, so we can write it down as x%=365.42.
5. Now we have two simple equations:
1) 100%=1874
2) x%=365.42
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%=1874/365.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.42 is what percent of 1874

100%/x%=1874/365.42
(100/x)*x=(1874/365.42)*x       - we multiply both sides of the equation by x
100=5.1283454654918*x       - we divide both sides of the equation by (5.1283454654918) to get x
100/5.1283454654918=x
19.49946638207=x
x=19.49946638207

now we have:
365.42 is 19.49946638207% of 1874