21082.5 is what percent of 122500 - 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 122500 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 122500, so we can write it down as 100%=122500.
4. We know, that x% equals 21082.5 of the output value, so we can write it down as x%=21082.5.
5. Now we have two simple equations:
1) 100%=122500
2) x%=21082.5
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%=122500/21082.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21082.5 is what percent of 122500

100%/x%=122500/21082.5
(100/x)*x=(122500/21082.5)*x       - we multiply both sides of the equation by x
100=5.8105063441243*x       - we divide both sides of the equation by (5.8105063441243) to get x
100/5.8105063441243=x
17.210204081633=x
x=17.210204081633

now we have:
21082.5 is 17.210204081633% of 122500