What is 18.78 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 18.78% of the output value, so we can write it down as x=18.78%.
5. Now we have two simple equations:
1) 420=100%
2) x=18.78%
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%/18.78%
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 18.78% of 420

420/x=100/18.78
(420/x)*x=(100/18.78)*x       - we multiply both sides of the equation by x
420=5.3248136315229*x       - we divide both sides of the equation by (5.3248136315229) to get x
420/5.3248136315229=x
78.876=x
x=78.876

now we have:
18.78% of 420=78.876