94.3 is what percent of 165.48 - 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 165.48 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 165.48, so we can write it down as 100%=165.48.
4. We know, that x% equals 94.3 of the output value, so we can write it down as x%=94.3.
5. Now we have two simple equations:
1) 100%=165.48
2) x%=94.3
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%=165.48/94.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.3 is what percent of 165.48

100%/x%=165.48/94.3
(100/x)*x=(165.48/94.3)*x       - we multiply both sides of the equation by x
100=1.7548250265111*x       - we divide both sides of the equation by (1.7548250265111) to get x
100/1.7548250265111=x
56.98573845782=x
x=56.98573845782

now we have:
94.3 is 56.98573845782% of 165.48