223.5 is what percent of 357 - 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 357 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 357, so we can write it down as 100%=357.
4. We know, that x% equals 223.5 of the output value, so we can write it down as x%=223.5.
5. Now we have two simple equations:
1) 100%=357
2) x%=223.5
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%=357/223.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 223.5 is what percent of 357

100%/x%=357/223.5
(100/x)*x=(357/223.5)*x       - we multiply both sides of the equation by x
100=1.5973154362416*x       - we divide both sides of the equation by (1.5973154362416) to get x
100/1.5973154362416=x
62.605042016807=x
x=62.605042016807

now we have:
223.5 is 62.605042016807% of 357