42.34 is what percent of 80.67 - 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 80.67 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 80.67, so we can write it down as 100%=80.67.
4. We know, that x% equals 42.34 of the output value, so we can write it down as x%=42.34.
5. Now we have two simple equations:
1) 100%=80.67
2) x%=42.34
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%=80.67/42.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.34 is what percent of 80.67

100%/x%=80.67/42.34
(100/x)*x=(80.67/42.34)*x       - we multiply both sides of the equation by x
100=1.9052905054322*x       - we divide both sides of the equation by (1.9052905054322) to get x
100/1.9052905054322=x
52.485434486178=x
x=52.485434486178

now we have:
42.34 is 52.485434486178% of 80.67