2.2 is what percent of 153.7 - 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 153.7 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 153.7, so we can write it down as 100%=153.7.
4. We know, that x% equals 2.2 of the output value, so we can write it down as x%=2.2.
5. Now we have two simple equations:
1) 100%=153.7
2) x%=2.2
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%=153.7/2.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.2 is what percent of 153.7

100%/x%=153.7/2.2
(100/x)*x=(153.7/2.2)*x       - we multiply both sides of the equation by x
100=69.863636363636*x       - we divide both sides of the equation by (69.863636363636) to get x
100/69.863636363636=x
1.4313597918022=x
x=1.4313597918022

now we have:
2.2 is 1.4313597918022% of 153.7