120.12 is what percent of 212.9 - 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 212.9 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 212.9, so we can write it down as 100%=212.9.
4. We know, that x% equals 120.12 of the output value, so we can write it down as x%=120.12.
5. Now we have two simple equations:
1) 100%=212.9
2) x%=120.12
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%=212.9/120.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.12 is what percent of 212.9

100%/x%=212.9/120.12
(100/x)*x=(212.9/120.12)*x       - we multiply both sides of the equation by x
100=1.7723942723943*x       - we divide both sides of the equation by (1.7723942723943) to get x
100/1.7723942723943=x
56.420854861437=x
x=56.420854861437

now we have:
120.12 is 56.420854861437% of 212.9