76 is what percent of 42.662 - 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 42.662 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 42.662, so we can write it down as 100%=42.662.
4. We know, that x% equals 76 of the output value, so we can write it down as x%=76.
5. Now we have two simple equations:
1) 100%=42.662
2) x%=76
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%=42.662/76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76 is what percent of 42.662

100%/x%=42.662/76
(100/x)*x=(42.662/76)*x       - we multiply both sides of the equation by x
100=0.56134210526316*x       - we divide both sides of the equation by (0.56134210526316) to get x
100/0.56134210526316=x
178.144484553=x
x=178.144484553

now we have:
76 is 178.144484553% of 42.662