237.72 is what percent of 1478.65 - 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 1478.65 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 1478.65, so we can write it down as 100%=1478.65.
4. We know, that x% equals 237.72 of the output value, so we can write it down as x%=237.72.
5. Now we have two simple equations:
1) 100%=1478.65
2) x%=237.72
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%=1478.65/237.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.72 is what percent of 1478.65

100%/x%=1478.65/237.72
(100/x)*x=(1478.65/237.72)*x       - we multiply both sides of the equation by x
100=6.2201329294969*x       - we divide both sides of the equation by (6.2201329294969) to get x
100/6.2201329294969=x
16.076826835289=x
x=16.076826835289

now we have:
237.72 is 16.076826835289% of 1478.65