842.4 is what percent of 26490 - 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 26490 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 26490, so we can write it down as 100%=26490.
4. We know, that x% equals 842.4 of the output value, so we can write it down as x%=842.4.
5. Now we have two simple equations:
1) 100%=26490
2) x%=842.4
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%=26490/842.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 842.4 is what percent of 26490

100%/x%=26490/842.4
(100/x)*x=(26490/842.4)*x       - we multiply both sides of the equation by x
100=31.445868945869*x       - we divide both sides of the equation by (31.445868945869) to get x
100/31.445868945869=x
3.1800679501699=x
x=3.1800679501699

now we have:
842.4 is 3.1800679501699% of 26490