212.63 is what percent of 961.36 - 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 961.36 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 961.36, so we can write it down as 100%=961.36.
4. We know, that x% equals 212.63 of the output value, so we can write it down as x%=212.63.
5. Now we have two simple equations:
1) 100%=961.36
2) x%=212.63
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%=961.36/212.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 212.63 is what percent of 961.36

100%/x%=961.36/212.63
(100/x)*x=(961.36/212.63)*x       - we multiply both sides of the equation by x
100=4.521281098622*x       - we divide both sides of the equation by (4.521281098622) to get x
100/4.521281098622=x
22.117625031206=x
x=22.117625031206

now we have:
212.63 is 22.117625031206% of 961.36