315.28 is what percent of 437.62 - 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 437.62 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 437.62, so we can write it down as 100%=437.62.
4. We know, that x% equals 315.28 of the output value, so we can write it down as x%=315.28.
5. Now we have two simple equations:
1) 100%=437.62
2) x%=315.28
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%=437.62/315.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.28 is what percent of 437.62

100%/x%=437.62/315.28
(100/x)*x=(437.62/315.28)*x       - we multiply both sides of the equation by x
100=1.3880360314641*x       - we divide both sides of the equation by (1.3880360314641) to get x
100/1.3880360314641=x
72.044239294365=x
x=72.044239294365

now we have:
315.28 is 72.044239294365% of 437.62