202.32 is what percent of 284.63 - 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 284.63 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 284.63, so we can write it down as 100%=284.63.
4. We know, that x% equals 202.32 of the output value, so we can write it down as x%=202.32.
5. Now we have two simple equations:
1) 100%=284.63
2) x%=202.32
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%=284.63/202.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 202.32 is what percent of 284.63

100%/x%=284.63/202.32
(100/x)*x=(284.63/202.32)*x       - we multiply both sides of the equation by x
100=1.4068307631475*x       - we divide both sides of the equation by (1.4068307631475) to get x
100/1.4068307631475=x
71.081755261216=x
x=71.081755261216

now we have:
202.32 is 71.081755261216% of 284.63