What is 41.67 percent of 678.34 - 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 678.34 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 678.34 is 100%, so we can write it down as 678.34=100%.
4. We know, that x is 41.67% of the output value, so we can write it down as x=41.67%.
5. Now we have two simple equations:
1) 678.34=100%
2) x=41.67%
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:
678.34/x=100%/41.67%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 41.67% of 678.34

678.34/x=100/41.67
(678.34/x)*x=(100/41.67)*x       - we multiply both sides of the equation by x
678.34=2.3998080153588*x       - we divide both sides of the equation by (2.3998080153588) to get x
678.34/2.3998080153588=x
282.664278=x
x=282.664278

now we have:
41.67% of 678.34=282.664278