1 is what percent of 1.961 - 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 1.961 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 1.961, so we can write it down as 100%=1.961.
4. We know, that x% equals 1 of the output value, so we can write it down as x%=1.
5. Now we have two simple equations:
1) 100%=1.961
2) x%=1
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%=1.961/1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1 is what percent of 1.961

100%/x%=1.961/1
(100/x)*x=(1.961/1)*x       - we multiply both sides of the equation by x
100=1.961*x       - we divide both sides of the equation by (1.961) to get x
100/1.961=x
50.994390617032=x
x=50.994390617032

now we have:
1 is 50.994390617032% of 1.961