1337.5 is what percent of 3567 - 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 3567 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 3567, so we can write it down as 100%=3567.
4. We know, that x% equals 1337.5 of the output value, so we can write it down as x%=1337.5.
5. Now we have two simple equations:
1) 100%=3567
2) x%=1337.5
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%=3567/1337.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1337.5 is what percent of 3567

100%/x%=3567/1337.5
(100/x)*x=(3567/1337.5)*x       - we multiply both sides of the equation by x
100=2.6669158878505*x       - we divide both sides of the equation by (2.6669158878505) to get x
100/2.6669158878505=x
37.496495654612=x
x=37.496495654612

now we have:
1337.5 is 37.496495654612% of 3567