45.62 is what percent of 678.04 - 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 678.04 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 678.04, so we can write it down as 100%=678.04.
4. We know, that x% equals 45.62 of the output value, so we can write it down as x%=45.62.
5. Now we have two simple equations:
1) 100%=678.04
2) x%=45.62
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%=678.04/45.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.62 is what percent of 678.04

100%/x%=678.04/45.62
(100/x)*x=(678.04/45.62)*x       - we multiply both sides of the equation by x
100=14.862779482683*x       - we divide both sides of the equation by (14.862779482683) to get x
100/14.862779482683=x
6.7282166243879=x
x=6.7282166243879

now we have:
45.62 is 6.7282166243879% of 678.04