What is 11.765 percent of 42500 - 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 42500 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 42500 is 100%, so we can write it down as 42500=100%.
4. We know, that x is 11.765% of the output value, so we can write it down as x=11.765%.
5. Now we have two simple equations:
1) 42500=100%
2) x=11.765%
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:
42500/x=100%/11.765%
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 11.765% of 42500

42500/x=100/11.765
(42500/x)*x=(100/11.765)*x       - we multiply both sides of the equation by x
42500=8.4997875053124*x       - we divide both sides of the equation by (8.4997875053124) to get x
42500/8.4997875053124=x
5000.125=x
x=5000.125

now we have:
11.765% of 42500=5000.125