436.7 is what percent of 738 - 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 738 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 738, so we can write it down as 100%=738.
4. We know, that x% equals 436.7 of the output value, so we can write it down as x%=436.7.
5. Now we have two simple equations:
1) 100%=738
2) x%=436.7
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%=738/436.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 436.7 is what percent of 738

100%/x%=738/436.7
(100/x)*x=(738/436.7)*x       - we multiply both sides of the equation by x
100=1.6899473322647*x       - we divide both sides of the equation by (1.6899473322647) to get x
100/1.6899473322647=x
59.173441734417=x
x=59.173441734417

now we have:
436.7 is 59.173441734417% of 738