10 is what percent of 45.5 - 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 45.5 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 45.5, so we can write it down as 100%=45.5.
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%=45.5
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%=45.5/10
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 45.5

100%/x%=45.5/10
(100/x)*x=(45.5/10)*x       - we multiply both sides of the equation by x
100=4.55*x       - we divide both sides of the equation by (4.55) to get x
100/4.55=x
21.978021978022=x
x=21.978021978022

now we have:
10 is 21.978021978022% of 45.5