10 is what percent of 21.955 - 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 21.955 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 21.955, so we can write it down as 100%=21.955.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=21.955
2) x%=10
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%=21.955/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 21.955

100%/x%=21.955/10
(100/x)*x=(21.955/10)*x       - we multiply both sides of the equation by x
100=2.1955*x       - we divide both sides of the equation by (2.1955) to get x
100/2.1955=x
45.547711227511=x
x=45.547711227511

now we have:
10 is 45.547711227511% of 21.955