40.7 is what percent of 274.3 - 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 274.3 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 274.3, so we can write it down as 100%=274.3.
4. We know, that x% equals 40.7 of the output value, so we can write it down as x%=40.7.
5. Now we have two simple equations:
1) 100%=274.3
2) x%=40.7
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%=274.3/40.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.7 is what percent of 274.3

100%/x%=274.3/40.7
(100/x)*x=(274.3/40.7)*x       - we multiply both sides of the equation by x
100=6.7395577395577*x       - we divide both sides of the equation by (6.7395577395577) to get x
100/6.7395577395577=x
14.837768866205=x
x=14.837768866205

now we have:
40.7 is 14.837768866205% of 274.3