301.38 is what percent of 876 - 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 876 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 876, so we can write it down as 100%=876.
4. We know, that x% equals 301.38 of the output value, so we can write it down as x%=301.38.
5. Now we have two simple equations:
1) 100%=876
2) x%=301.38
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%=876/301.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 301.38 is what percent of 876

100%/x%=876/301.38
(100/x)*x=(876/301.38)*x       - we multiply both sides of the equation by x
100=2.9066295042803*x       - we divide both sides of the equation by (2.9066295042803) to get x
100/2.9066295042803=x
34.404109589041=x
x=34.404109589041

now we have:
301.38 is 34.404109589041% of 876