42.67 is what percent of 1537 - 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 1537 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 1537, so we can write it down as 100%=1537.
4. We know, that x% equals 42.67 of the output value, so we can write it down as x%=42.67.
5. Now we have two simple equations:
1) 100%=1537
2) x%=42.67
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%=1537/42.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.67 is what percent of 1537

100%/x%=1537/42.67
(100/x)*x=(1537/42.67)*x       - we multiply both sides of the equation by x
100=36.020623388798*x       - we divide both sides of the equation by (36.020623388798) to get x
100/36.020623388798=x
2.7761873780091=x
x=2.7761873780091

now we have:
42.67 is 2.7761873780091% of 1537