1.96 is what percent of 35.78 - 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 35.78 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 35.78, so we can write it down as 100%=35.78.
4. We know, that x% equals 1.96 of the output value, so we can write it down as x%=1.96.
5. Now we have two simple equations:
1) 100%=35.78
2) x%=1.96
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%=35.78/1.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.96 is what percent of 35.78

100%/x%=35.78/1.96
(100/x)*x=(35.78/1.96)*x       - we multiply both sides of the equation by x
100=18.255102040816*x       - we divide both sides of the equation by (18.255102040816) to get x
100/18.255102040816=x
5.4779206260481=x
x=5.4779206260481

now we have:
1.96 is 5.4779206260481% of 35.78