What is 21.25 percent of 882.4 - 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 882.4 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 882.4 is 100%, so we can write it down as 882.4=100%.
4. We know, that x is 21.25% of the output value, so we can write it down as x=21.25%.
5. Now we have two simple equations:
1) 882.4=100%
2) x=21.25%
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:
882.4/x=100%/21.25%
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 21.25% of 882.4

882.4/x=100/21.25
(882.4/x)*x=(100/21.25)*x       - we multiply both sides of the equation by x
882.4=4.7058823529412*x       - we divide both sides of the equation by (4.7058823529412) to get x
882.4/4.7058823529412=x
187.51=x
x=187.51

now we have:
21.25% of 882.4=187.51