78.46 is what percent of 2438 - 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 2438 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 2438, so we can write it down as 100%=2438.
4. We know, that x% equals 78.46 of the output value, so we can write it down as x%=78.46.
5. Now we have two simple equations:
1) 100%=2438
2) x%=78.46
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%=2438/78.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.46 is what percent of 2438

100%/x%=2438/78.46
(100/x)*x=(2438/78.46)*x       - we multiply both sides of the equation by x
100=31.073158297222*x       - we divide both sides of the equation by (31.073158297222) to get x
100/31.073158297222=x
3.2182116488925=x
x=3.2182116488925

now we have:
78.46 is 3.2182116488925% of 2438