30.95 is what percent of 7.74 - 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 7.74 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 7.74, so we can write it down as 100%=7.74.
4. We know, that x% equals 30.95 of the output value, so we can write it down as x%=30.95.
5. Now we have two simple equations:
1) 100%=7.74
2) x%=30.95
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%=7.74/30.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.95 is what percent of 7.74

100%/x%=7.74/30.95
(100/x)*x=(7.74/30.95)*x       - we multiply both sides of the equation by x
100=0.25008077544426*x       - we divide both sides of the equation by (0.25008077544426) to get x
100/0.25008077544426=x
399.87080103359=x
x=399.87080103359

now we have:
30.95 is 399.87080103359% of 7.74