1.91 is what percent of 40.42 - 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 40.42 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 40.42, so we can write it down as 100%=40.42.
4. We know, that x% equals 1.91 of the output value, so we can write it down as x%=1.91.
5. Now we have two simple equations:
1) 100%=40.42
2) x%=1.91
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%=40.42/1.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.91 is what percent of 40.42

100%/x%=40.42/1.91
(100/x)*x=(40.42/1.91)*x       - we multiply both sides of the equation by x
100=21.162303664921*x       - we divide both sides of the equation by (21.162303664921) to get x
100/21.162303664921=x
4.725383473528=x
x=4.725383473528

now we have:
1.91 is 4.725383473528% of 40.42