0.91 is what percent of 30.42 - 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 30.42 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 30.42, so we can write it down as 100%=30.42.
4. We know, that x% equals 0.91 of the output value, so we can write it down as x%=0.91.
5. Now we have two simple equations:
1) 100%=30.42
2) x%=0.91
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%=30.42/0.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.91 is what percent of 30.42

100%/x%=30.42/0.91
(100/x)*x=(30.42/0.91)*x       - we multiply both sides of the equation by x
100=33.428571428571*x       - we divide both sides of the equation by (33.428571428571) to get x
100/33.428571428571=x
2.991452991453=x
x=2.991452991453

now we have:
0.91 is 2.991452991453% of 30.42