21.5 is what percent of 207.5 - 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 207.5 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 207.5, so we can write it down as 100%=207.5.
4. We know, that x% equals 21.5 of the output value, so we can write it down as x%=21.5.
5. Now we have two simple equations:
1) 100%=207.5
2) x%=21.5
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%=207.5/21.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.5 is what percent of 207.5

100%/x%=207.5/21.5
(100/x)*x=(207.5/21.5)*x       - we multiply both sides of the equation by x
100=9.6511627906977*x       - we divide both sides of the equation by (9.6511627906977) to get x
100/9.6511627906977=x
10.361445783133=x
x=10.361445783133

now we have:
21.5 is 10.361445783133% of 207.5