743.96 is what percent of 35.632 - 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 35.632 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 35.632, so we can write it down as 100%=35.632.
4. We know, that x% equals 743.96 of the output value, so we can write it down as x%=743.96.
5. Now we have two simple equations:
1) 100%=35.632
2) x%=743.96
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%=35.632/743.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 743.96 is what percent of 35.632

100%/x%=35.632/743.96
(100/x)*x=(35.632/743.96)*x       - we multiply both sides of the equation by x
100=0.047895048120867*x       - we divide both sides of the equation by (0.047895048120867) to get x
100/0.047895048120867=x
2087.8985181859=x
x=2087.8985181859

now we have:
743.96 is 2087.8985181859% of 35.632