What is 20.9 percent of 790.77 - 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 790.77 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 790.77 is 100%, so we can write it down as 790.77=100%.
4. We know, that x is 20.9% of the output value, so we can write it down as x=20.9%.
5. Now we have two simple equations:
1) 790.77=100%
2) x=20.9%
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:
790.77/x=100%/20.9%
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 20.9% of 790.77

790.77/x=100/20.9
(790.77/x)*x=(100/20.9)*x       - we multiply both sides of the equation by x
790.77=4.7846889952153*x       - we divide both sides of the equation by (4.7846889952153) to get x
790.77/4.7846889952153=x
165.27093=x
x=165.27093

now we have:
20.9% of 790.77=165.27093