300.53 is what percent of 1376 - 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 1376 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 1376, so we can write it down as 100%=1376.
4. We know, that x% equals 300.53 of the output value, so we can write it down as x%=300.53.
5. Now we have two simple equations:
1) 100%=1376
2) x%=300.53
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%=1376/300.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.53 is what percent of 1376

100%/x%=1376/300.53
(100/x)*x=(1376/300.53)*x       - we multiply both sides of the equation by x
100=4.5785778458057*x       - we divide both sides of the equation by (4.5785778458057) to get x
100/4.5785778458057=x
21.840843023256=x
x=21.840843023256

now we have:
300.53 is 21.840843023256% of 1376