942.33 is what percent of 1172 - 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 1172 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 1172, so we can write it down as 100%=1172.
4. We know, that x% equals 942.33 of the output value, so we can write it down as x%=942.33.
5. Now we have two simple equations:
1) 100%=1172
2) x%=942.33
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%=1172/942.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 942.33 is what percent of 1172

100%/x%=1172/942.33
(100/x)*x=(1172/942.33)*x       - we multiply both sides of the equation by x
100=1.2437256587395*x       - we divide both sides of the equation by (1.2437256587395) to get x
100/1.2437256587395=x
80.403583617747=x
x=80.403583617747

now we have:
942.33 is 80.403583617747% of 1172