9.63 is what percent of 45.88 - 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 45.88 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 45.88, so we can write it down as 100%=45.88.
4. We know, that x% equals 9.63 of the output value, so we can write it down as x%=9.63.
5. Now we have two simple equations:
1) 100%=45.88
2) x%=9.63
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%=45.88/9.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.63 is what percent of 45.88

100%/x%=45.88/9.63
(100/x)*x=(45.88/9.63)*x       - we multiply both sides of the equation by x
100=4.7642782969886*x       - we divide both sides of the equation by (4.7642782969886) to get x
100/4.7642782969886=x
20.989537925022=x
x=20.989537925022

now we have:
9.63 is 20.989537925022% of 45.88