1.96 is what percent of 2.13 - 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 2.13 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 2.13, so we can write it down as 100%=2.13.
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%=2.13
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%=2.13/1.96
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 2.13

100%/x%=2.13/1.96
(100/x)*x=(2.13/1.96)*x       - we multiply both sides of the equation by x
100=1.0867346938776*x       - we divide both sides of the equation by (1.0867346938776) to get x
100/1.0867346938776=x
92.018779342723=x
x=92.018779342723

now we have:
1.96 is 92.018779342723% of 2.13