76.21 is what percent of 8407.04 - 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 8407.04 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 8407.04, so we can write it down as 100%=8407.04.
4. We know, that x% equals 76.21 of the output value, so we can write it down as x%=76.21.
5. Now we have two simple equations:
1) 100%=8407.04
2) x%=76.21
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%=8407.04/76.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.21 is what percent of 8407.04

100%/x%=8407.04/76.21
(100/x)*x=(8407.04/76.21)*x       - we multiply both sides of the equation by x
100=110.31413200367*x       - we divide both sides of the equation by (110.31413200367) to get x
100/110.31413200367=x
0.90650216961023=x
x=0.90650216961023

now we have:
76.21 is 0.90650216961023% of 8407.04