76.8 is what percent of 42.2 - 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 42.2 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 42.2, so we can write it down as 100%=42.2.
4. We know, that x% equals 76.8 of the output value, so we can write it down as x%=76.8.
5. Now we have two simple equations:
1) 100%=42.2
2) x%=76.8
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%=42.2/76.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.8 is what percent of 42.2

100%/x%=42.2/76.8
(100/x)*x=(42.2/76.8)*x       - we multiply both sides of the equation by x
100=0.54947916666667*x       - we divide both sides of the equation by (0.54947916666667) to get x
100/0.54947916666667=x
181.99052132701=x
x=181.99052132701

now we have:
76.8 is 181.99052132701% of 42.2