343.6 is what percent of 780.48 - 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 780.48 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 780.48, so we can write it down as 100%=780.48.
4. We know, that x% equals 343.6 of the output value, so we can write it down as x%=343.6.
5. Now we have two simple equations:
1) 100%=780.48
2) x%=343.6
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%=780.48/343.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.6 is what percent of 780.48

100%/x%=780.48/343.6
(100/x)*x=(780.48/343.6)*x       - we multiply both sides of the equation by x
100=2.2714784633295*x       - we divide both sides of the equation by (2.2714784633295) to get x
100/2.2714784633295=x
44.024190241902=x
x=44.024190241902

now we have:
343.6 is 44.024190241902% of 780.48