10.2 is what percent of 84000 - 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 84000 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 84000, so we can write it down as 100%=84000.
4. We know, that x% equals 10.2 of the output value, so we can write it down as x%=10.2.
5. Now we have two simple equations:
1) 100%=84000
2) x%=10.2
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%=84000/10.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.2 is what percent of 84000

100%/x%=84000/10.2
(100/x)*x=(84000/10.2)*x       - we multiply both sides of the equation by x
100=8235.2941176471*x       - we divide both sides of the equation by (8235.2941176471) to get x
100/8235.2941176471=x
0.012142857142857=x
x=0.012142857142857

now we have:
10.2 is 0.012142857142857% of 84000