What is 62.02 percent of 27.72 - 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 27.72 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 27.72 is 100%, so we can write it down as 27.72=100%.
4. We know, that x is 62.02% of the output value, so we can write it down as x=62.02%.
5. Now we have two simple equations:
1) 27.72=100%
2) x=62.02%
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:
27.72/x=100%/62.02%
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 62.02% of 27.72

27.72/x=100/62.02
(27.72/x)*x=(100/62.02)*x       - we multiply both sides of the equation by x
27.72=1.6123831022251*x       - we divide both sides of the equation by (1.6123831022251) to get x
27.72/1.6123831022251=x
17.191944=x
x=17.191944

now we have:
62.02% of 27.72=17.191944