2.47 is what percent of 32.87 - 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 32.87 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 32.87, so we can write it down as 100%=32.87.
4. We know, that x% equals 2.47 of the output value, so we can write it down as x%=2.47.
5. Now we have two simple equations:
1) 100%=32.87
2) x%=2.47
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%=32.87/2.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.47 is what percent of 32.87

100%/x%=32.87/2.47
(100/x)*x=(32.87/2.47)*x       - we multiply both sides of the equation by x
100=13.307692307692*x       - we divide both sides of the equation by (13.307692307692) to get x
100/13.307692307692=x
7.514450867052=x
x=7.514450867052

now we have:
2.47 is 7.514450867052% of 32.87