84 is what percent of 419 - 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 419 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 100% equals 419, so we can write it down as 100%=419.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=419
2) x%=84
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:
100%/x%=419/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 419

100%/x%=419/84
(100/x)*x=(419/84)*x       - we multiply both sides of the equation by x
100=4.9880952380952*x       - we divide both sides of the equation by (4.9880952380952) to get x
100/4.9880952380952=x
20.047732696897=x
x=20.047732696897

now we have:
84 is 20.047732696897% of 419