521.38 is what percent of 1845.4 - 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 1845.4 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 1845.4, so we can write it down as 100%=1845.4.
4. We know, that x% equals 521.38 of the output value, so we can write it down as x%=521.38.
5. Now we have two simple equations:
1) 100%=1845.4
2) x%=521.38
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%=1845.4/521.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.38 is what percent of 1845.4

100%/x%=1845.4/521.38
(100/x)*x=(1845.4/521.38)*x       - we multiply both sides of the equation by x
100=3.5394529901415*x       - we divide both sides of the equation by (3.5394529901415) to get x
100/3.5394529901415=x
28.25295328926=x
x=28.25295328926

now we have:
521.38 is 28.25295328926% of 1845.4