2 is what percent of 656.24 - 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 656.24 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 656.24, so we can write it down as 100%=656.24.
4. We know, that x% equals 2 of the output value, so we can write it down as x%=2.
5. Now we have two simple equations:
1) 100%=656.24
2) x%=2
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%=656.24/2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2 is what percent of 656.24

100%/x%=656.24/2
(100/x)*x=(656.24/2)*x       - we multiply both sides of the equation by x
100=328.12*x       - we divide both sides of the equation by (328.12) to get x
100/328.12=x
0.3047665488236=x
x=0.3047665488236

now we have:
2 is 0.3047665488236% of 656.24