222.5 is what percent of 335 - 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 335 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 335, so we can write it down as 100%=335.
4. We know, that x% equals 222.5 of the output value, so we can write it down as x%=222.5.
5. Now we have two simple equations:
1) 100%=335
2) x%=222.5
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%=335/222.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 222.5 is what percent of 335

100%/x%=335/222.5
(100/x)*x=(335/222.5)*x       - we multiply both sides of the equation by x
100=1.5056179775281*x       - we divide both sides of the equation by (1.5056179775281) to get x
100/1.5056179775281=x
66.417910447761=x
x=66.417910447761

now we have:
222.5 is 66.417910447761% of 335