1.21 is what percent of 2.888 - 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 2.888 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 2.888, so we can write it down as 100%=2.888.
4. We know, that x% equals 1.21 of the output value, so we can write it down as x%=1.21.
5. Now we have two simple equations:
1) 100%=2.888
2) x%=1.21
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%=2.888/1.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.21 is what percent of 2.888

100%/x%=2.888/1.21
(100/x)*x=(2.888/1.21)*x       - we multiply both sides of the equation by x
100=2.3867768595041*x       - we divide both sides of the equation by (2.3867768595041) to get x
100/2.3867768595041=x
41.897506925208=x
x=41.897506925208

now we have:
1.21 is 41.897506925208% of 2.888