97.01 is what percent of 3076.9 - 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 3076.9 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 3076.9, so we can write it down as 100%=3076.9.
4. We know, that x% equals 97.01 of the output value, so we can write it down as x%=97.01.
5. Now we have two simple equations:
1) 100%=3076.9
2) x%=97.01
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%=3076.9/97.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.01 is what percent of 3076.9

100%/x%=3076.9/97.01
(100/x)*x=(3076.9/97.01)*x       - we multiply both sides of the equation by x
100=31.717348726935*x       - we divide both sides of the equation by (31.717348726935) to get x
100/31.717348726935=x
3.1528486463648=x
x=3.1528486463648

now we have:
97.01 is 3.1528486463648% of 3076.9