2.45 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 2.45 of the output value, so we can write it down as x%=2.45.
5. Now we have two simple equations:
1) 100%=8.7
2) x%=2.45
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%=8.7/2.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.45 is what percent of 8.7

100%/x%=8.7/2.45
(100/x)*x=(8.7/2.45)*x       - we multiply both sides of the equation by x
100=3.5510204081633*x       - we divide both sides of the equation by (3.5510204081633) to get x
100/3.5510204081633=x
28.16091954023=x
x=28.16091954023

now we have:
2.45 is 28.16091954023% of 8.7