212.46 is what percent of 301 - 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 301 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 301, so we can write it down as 100%=301.
4. We know, that x% equals 212.46 of the output value, so we can write it down as x%=212.46.
5. Now we have two simple equations:
1) 100%=301
2) x%=212.46
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%=301/212.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 212.46 is what percent of 301

100%/x%=301/212.46
(100/x)*x=(301/212.46)*x       - we multiply both sides of the equation by x
100=1.4167372681917*x       - we divide both sides of the equation by (1.4167372681917) to get x
100/1.4167372681917=x
70.584717607973=x
x=70.584717607973

now we have:
212.46 is 70.584717607973% of 301