What is 13.494815599324 percent of 577.67 - 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 577.67 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 577.67 is 100%, so we can write it down as 577.67=100%.
4. We know, that x is 13.494815599324% of the output value, so we can write it down as x=13.494815599324%.
5. Now we have two simple equations:
1) 577.67=100%
2) x=13.494815599324%
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:
577.67/x=100%/13.494815599324%
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 13.494815599324% of 577.67

577.67/x=100/13.494815599324
(577.67/x)*x=(100/13.494815599324)*x       - we multiply both sides of the equation by x
577.67=7.4102531645567*x       - we divide both sides of the equation by (7.4102531645567) to get x
577.67/7.4102531645567=x
77.955501272615=x
x=77.955501272615

now we have:
13.494815599324% of 577.67=77.955501272615