466.77 is what percent of 1540.31 - 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 1540.31 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 1540.31, so we can write it down as 100%=1540.31.
4. We know, that x% equals 466.77 of the output value, so we can write it down as x%=466.77.
5. Now we have two simple equations:
1) 100%=1540.31
2) x%=466.77
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%=1540.31/466.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 466.77 is what percent of 1540.31

100%/x%=1540.31/466.77
(100/x)*x=(1540.31/466.77)*x       - we multiply both sides of the equation by x
100=3.2999335861345*x       - we divide both sides of the equation by (3.2999335861345) to get x
100/3.2999335861345=x
30.303640176328=x
x=30.303640176328

now we have:
466.77 is 30.303640176328% of 1540.31