9.87 is what percent of 21.45 - 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 21.45 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 21.45, so we can write it down as 100%=21.45.
4. We know, that x% equals 9.87 of the output value, so we can write it down as x%=9.87.
5. Now we have two simple equations:
1) 100%=21.45
2) x%=9.87
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%=21.45/9.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.87 is what percent of 21.45

100%/x%=21.45/9.87
(100/x)*x=(21.45/9.87)*x       - we multiply both sides of the equation by x
100=2.1732522796353*x       - we divide both sides of the equation by (2.1732522796353) to get x
100/2.1732522796353=x
46.013986013986=x
x=46.013986013986

now we have:
9.87 is 46.013986013986% of 21.45