974.87 is what percent of 8.034 - 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 8.034 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 8.034, so we can write it down as 100%=8.034.
4. We know, that x% equals 974.87 of the output value, so we can write it down as x%=974.87.
5. Now we have two simple equations:
1) 100%=8.034
2) x%=974.87
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%=8.034/974.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 974.87 is what percent of 8.034

100%/x%=8.034/974.87
(100/x)*x=(8.034/974.87)*x       - we multiply both sides of the equation by x
100=0.0082410988131751*x       - we divide both sides of the equation by (0.0082410988131751) to get x
100/0.0082410988131751=x
12134.30420712=x
x=12134.30420712

now we have:
974.87 is 12134.30420712% of 8.034