What is 97.54 percent of 6.67 - 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 6.67 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 6.67 is 100%, so we can write it down as 6.67=100%.
4. We know, that x is 97.54% of the output value, so we can write it down as x=97.54%.
5. Now we have two simple equations:
1) 6.67=100%
2) x=97.54%
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:
6.67/x=100%/97.54%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 97.54% of 6.67

6.67/x=100/97.54
(6.67/x)*x=(100/97.54)*x       - we multiply both sides of the equation by x
6.67=1.0252204223908*x       - we divide both sides of the equation by (1.0252204223908) to get x
6.67/1.0252204223908=x
6.505918=x
x=6.505918

now we have:
97.54% of 6.67=6.505918