2.18 is what percent of 1.97 - 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 1.97 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 1.97, so we can write it down as 100%=1.97.
4. We know, that x% equals 2.18 of the output value, so we can write it down as x%=2.18.
5. Now we have two simple equations:
1) 100%=1.97
2) x%=2.18
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%=1.97/2.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.18 is what percent of 1.97

100%/x%=1.97/2.18
(100/x)*x=(1.97/2.18)*x       - we multiply both sides of the equation by x
100=0.90366972477064*x       - we divide both sides of the equation by (0.90366972477064) to get x
100/0.90366972477064=x
110.65989847716=x
x=110.65989847716

now we have:
2.18 is 110.65989847716% of 1.97