6.24 is what percent of 8333 - 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 8333 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 8333, so we can write it down as 100%=8333.
4. We know, that x% equals 6.24 of the output value, so we can write it down as x%=6.24.
5. Now we have two simple equations:
1) 100%=8333
2) x%=6.24
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%=8333/6.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.24 is what percent of 8333

100%/x%=8333/6.24
(100/x)*x=(8333/6.24)*x       - we multiply both sides of the equation by x
100=1335.4166666667*x       - we divide both sides of the equation by (1335.4166666667) to get x
100/1335.4166666667=x
0.074882995319813=x
x=0.074882995319813

now we have:
6.24 is 0.074882995319813% of 8333