42.33 is what percent of 4852.63 - 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 4852.63 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 4852.63, so we can write it down as 100%=4852.63.
4. We know, that x% equals 42.33 of the output value, so we can write it down as x%=42.33.
5. Now we have two simple equations:
1) 100%=4852.63
2) x%=42.33
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%=4852.63/42.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.33 is what percent of 4852.63

100%/x%=4852.63/42.33
(100/x)*x=(4852.63/42.33)*x       - we multiply both sides of the equation by x
100=114.63808173872*x       - we divide both sides of the equation by (114.63808173872) to get x
100/114.63808173872=x
0.87231047905981=x
x=0.87231047905981

now we have:
42.33 is 0.87231047905981% of 4852.63