What is 4200 percent of 10600 - 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 10600 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 10600 is 100%, so we can write it down as 10600=100%.
4. We know, that x is 4200% of the output value, so we can write it down as x=4200%.
5. Now we have two simple equations:
1) 10600=100%
2) x=4200%
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:
10600/x=100%/4200%
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 4200% of 10600

10600/x=100/4200
(10600/x)*x=(100/4200)*x       - we multiply both sides of the equation by x
10600=0.023809523809524*x       - we divide both sides of the equation by (0.023809523809524) to get x
10600/0.023809523809524=x
445200=x
x=445200

now we have:
4200% of 10600=445200