78.46 is what percent of 118.46 - 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 118.46 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 118.46, so we can write it down as 100%=118.46.
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%=118.46
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%=118.46/78.46
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 118.46

100%/x%=118.46/78.46
(100/x)*x=(118.46/78.46)*x       - we multiply both sides of the equation by x
100=1.50981391792*x       - we divide both sides of the equation by (1.50981391792) to get x
100/1.50981391792=x
66.233327705555=x
x=66.233327705555

now we have:
78.46 is 66.233327705555% of 118.46