438930.96 is what percent of 309343.48 - 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 309343.48 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 309343.48, so we can write it down as 100%=309343.48.
4. We know, that x% equals 438930.96 of the output value, so we can write it down as x%=438930.96.
5. Now we have two simple equations:
1) 100%=309343.48
2) x%=438930.96
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%=309343.48/438930.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438930.96 is what percent of 309343.48

100%/x%=309343.48/438930.96
(100/x)*x=(309343.48/438930.96)*x       - we multiply both sides of the equation by x
100=0.70476568797972*x       - we divide both sides of the equation by (0.70476568797972) to get x
100/0.70476568797972=x
141.89113020905=x
x=141.89113020905

now we have:
438930.96 is 141.89113020905% of 309343.48