What is 79.9 percent of 420 - 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 420 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 420 is 100%, so we can write it down as 420=100%.
4. We know, that x is 79.9% of the output value, so we can write it down as x=79.9%.
5. Now we have two simple equations:
1) 420=100%
2) x=79.9%
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:
420/x=100%/79.9%
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 79.9% of 420

420/x=100/79.9
(420/x)*x=(100/79.9)*x       - we multiply both sides of the equation by x
420=1.2515644555695*x       - we divide both sides of the equation by (1.2515644555695) to get x
420/1.2515644555695=x
335.58=x
x=335.58

now we have:
79.9% of 420=335.58