470.73 is what percent of 1531.78 - 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 1531.78 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 1531.78, so we can write it down as 100%=1531.78.
4. We know, that x% equals 470.73 of the output value, so we can write it down as x%=470.73.
5. Now we have two simple equations:
1) 100%=1531.78
2) x%=470.73
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%=1531.78/470.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 470.73 is what percent of 1531.78

100%/x%=1531.78/470.73
(100/x)*x=(1531.78/470.73)*x       - we multiply both sides of the equation by x
100=3.2540522167697*x       - we divide both sides of the equation by (3.2540522167697) to get x
100/3.2540522167697=x
30.73091436107=x
x=30.73091436107

now we have:
470.73 is 30.73091436107% of 1531.78