456.72 is what percent of 1871.5 - 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 1871.5 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 1871.5, so we can write it down as 100%=1871.5.
4. We know, that x% equals 456.72 of the output value, so we can write it down as x%=456.72.
5. Now we have two simple equations:
1) 100%=1871.5
2) x%=456.72
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%=1871.5/456.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 456.72 is what percent of 1871.5

100%/x%=1871.5/456.72
(100/x)*x=(1871.5/456.72)*x       - we multiply both sides of the equation by x
100=4.0976966193729*x       - we divide both sides of the equation by (4.0976966193729) to get x
100/4.0976966193729=x
24.403954047555=x
x=24.403954047555

now we have:
456.72 is 24.403954047555% of 1871.5