775.58 is what percent of 2449.5 - 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 2449.5 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 2449.5, so we can write it down as 100%=2449.5.
4. We know, that x% equals 775.58 of the output value, so we can write it down as x%=775.58.
5. Now we have two simple equations:
1) 100%=2449.5
2) x%=775.58
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%=2449.5/775.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 775.58 is what percent of 2449.5

100%/x%=2449.5/775.58
(100/x)*x=(2449.5/775.58)*x       - we multiply both sides of the equation by x
100=3.1582815441347*x       - we divide both sides of the equation by (3.1582815441347) to get x
100/3.1582815441347=x
31.662788324148=x
x=31.662788324148

now we have:
775.58 is 31.662788324148% of 2449.5