92 is what percent of 203 - 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 203 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 203, so we can write it down as 100%=203.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=203
2) x%=92
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%=203/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 203

100%/x%=203/92
(100/x)*x=(203/92)*x       - we multiply both sides of the equation by x
100=2.2065217391304*x       - we divide both sides of the equation by (2.2065217391304) to get x
100/2.2065217391304=x
45.320197044335=x
x=45.320197044335

now we have:
92 is 45.320197044335% of 203