2.47 is what percent of 22.65 - 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 22.65 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 22.65, so we can write it down as 100%=22.65.
4. We know, that x% equals 2.47 of the output value, so we can write it down as x%=2.47.
5. Now we have two simple equations:
1) 100%=22.65
2) x%=2.47
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%=22.65/2.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.47 is what percent of 22.65

100%/x%=22.65/2.47
(100/x)*x=(22.65/2.47)*x       - we multiply both sides of the equation by x
100=9.17004048583*x       - we divide both sides of the equation by (9.17004048583) to get x
100/9.17004048583=x
10.905077262693=x
x=10.905077262693

now we have:
2.47 is 10.905077262693% of 22.65