1.21 is what percent of 55.585 - 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 55.585 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 55.585, so we can write it down as 100%=55.585.
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%=55.585
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%=55.585/1.21
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 55.585

100%/x%=55.585/1.21
(100/x)*x=(55.585/1.21)*x       - we multiply both sides of the equation by x
100=45.938016528926*x       - we divide both sides of the equation by (45.938016528926) to get x
100/45.938016528926=x
2.1768462714761=x
x=2.1768462714761

now we have:
1.21 is 2.1768462714761% of 55.585