405.72 is what percent of 901 - 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 901 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 901, so we can write it down as 100%=901.
4. We know, that x% equals 405.72 of the output value, so we can write it down as x%=405.72.
5. Now we have two simple equations:
1) 100%=901
2) x%=405.72
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%=901/405.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 405.72 is what percent of 901

100%/x%=901/405.72
(100/x)*x=(901/405.72)*x       - we multiply both sides of the equation by x
100=2.2207433698117*x       - we divide both sides of the equation by (2.2207433698117) to get x
100/2.2207433698117=x
45.029966703663=x
x=45.029966703663

now we have:
405.72 is 45.029966703663% of 901