What is 24.6 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 24.6% of the output value, so we can write it down as x=24.6%.
5. Now we have two simple equations:
1) 420=100%
2) x=24.6%
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%/24.6%
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 24.6% of 420

420/x=100/24.6
(420/x)*x=(100/24.6)*x       - we multiply both sides of the equation by x
420=4.0650406504065*x       - we divide both sides of the equation by (4.0650406504065) to get x
420/4.0650406504065=x
103.32=x
x=103.32

now we have:
24.6% of 420=103.32