13.21 is what percent of 140.23 - 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 140.23 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 140.23, so we can write it down as 100%=140.23.
4. We know, that x% equals 13.21 of the output value, so we can write it down as x%=13.21.
5. Now we have two simple equations:
1) 100%=140.23
2) x%=13.21
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%=140.23/13.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.21 is what percent of 140.23

100%/x%=140.23/13.21
(100/x)*x=(140.23/13.21)*x       - we multiply both sides of the equation by x
100=10.615442846329*x       - we divide both sides of the equation by (10.615442846329) to get x
100/10.615442846329=x
9.4202381801326=x
x=9.4202381801326

now we have:
13.21 is 9.4202381801326% of 140.23