2.17 is what percent of 8.7 - 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 8.7 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 8.7, so we can write it down as 100%=8.7.
4. We know, that x% equals 2.17 of the output value, so we can write it down as x%=2.17.
5. Now we have two simple equations:
1) 100%=8.7
2) x%=2.17
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%=8.7/2.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.17 is what percent of 8.7

100%/x%=8.7/2.17
(100/x)*x=(8.7/2.17)*x       - we multiply both sides of the equation by x
100=4.0092165898618*x       - we divide both sides of the equation by (4.0092165898618) to get x
100/4.0092165898618=x
24.942528735632=x
x=24.942528735632

now we have:
2.17 is 24.942528735632% of 8.7