7.42 is what percent of 67.43 - 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 67.43 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 67.43, so we can write it down as 100%=67.43.
4. We know, that x% equals 7.42 of the output value, so we can write it down as x%=7.42.
5. Now we have two simple equations:
1) 100%=67.43
2) x%=7.42
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%=67.43/7.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.42 is what percent of 67.43

100%/x%=67.43/7.42
(100/x)*x=(67.43/7.42)*x       - we multiply both sides of the equation by x
100=9.0876010781671*x       - we divide both sides of the equation by (9.0876010781671) to get x
100/9.0876010781671=x
11.004004152454=x
x=11.004004152454

now we have:
7.42 is 11.004004152454% of 67.43