824.4 is what percent of 2550 - 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 2550 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 2550, so we can write it down as 100%=2550.
4. We know, that x% equals 824.4 of the output value, so we can write it down as x%=824.4.
5. Now we have two simple equations:
1) 100%=2550
2) x%=824.4
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%=2550/824.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 824.4 is what percent of 2550

100%/x%=2550/824.4
(100/x)*x=(2550/824.4)*x       - we multiply both sides of the equation by x
100=3.0931586608443*x       - we divide both sides of the equation by (3.0931586608443) to get x
100/3.0931586608443=x
32.329411764706=x
x=32.329411764706

now we have:
824.4 is 32.329411764706% of 2550