733.5 is what percent of 3662 - 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 3662 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 3662, so we can write it down as 100%=3662.
4. We know, that x% equals 733.5 of the output value, so we can write it down as x%=733.5.
5. Now we have two simple equations:
1) 100%=3662
2) x%=733.5
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%=3662/733.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 733.5 is what percent of 3662

100%/x%=3662/733.5
(100/x)*x=(3662/733.5)*x       - we multiply both sides of the equation by x
100=4.9925017041581*x       - we divide both sides of the equation by (4.9925017041581) to get x
100/4.9925017041581=x
20.030038230475=x
x=20.030038230475

now we have:
733.5 is 20.030038230475% of 3662