50.33 is what percent of 42.68 - 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 42.68 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 42.68, so we can write it down as 100%=42.68.
4. We know, that x% equals 50.33 of the output value, so we can write it down as x%=50.33.
5. Now we have two simple equations:
1) 100%=42.68
2) x%=50.33
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%=42.68/50.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.33 is what percent of 42.68

100%/x%=42.68/50.33
(100/x)*x=(42.68/50.33)*x       - we multiply both sides of the equation by x
100=0.84800317901848*x       - we divide both sides of the equation by (0.84800317901848) to get x
100/0.84800317901848=x
117.92408622306=x
x=117.92408622306

now we have:
50.33 is 117.92408622306% of 42.68