4808.4 is what percent of 74900 - 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 74900 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 74900, so we can write it down as 100%=74900.
4. We know, that x% equals 4808.4 of the output value, so we can write it down as x%=4808.4.
5. Now we have two simple equations:
1) 100%=74900
2) x%=4808.4
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%=74900/4808.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4808.4 is what percent of 74900

100%/x%=74900/4808.4
(100/x)*x=(74900/4808.4)*x       - we multiply both sides of the equation by x
100=15.576907079278*x       - we divide both sides of the equation by (15.576907079278) to get x
100/15.576907079278=x
6.4197596795728=x
x=6.4197596795728

now we have:
4808.4 is 6.4197596795728% of 74900