87.48 is what percent of 2364.48 - 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 2364.48 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 2364.48, so we can write it down as 100%=2364.48.
4. We know, that x% equals 87.48 of the output value, so we can write it down as x%=87.48.
5. Now we have two simple equations:
1) 100%=2364.48
2) x%=87.48
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%=2364.48/87.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.48 is what percent of 2364.48

100%/x%=2364.48/87.48
(100/x)*x=(2364.48/87.48)*x       - we multiply both sides of the equation by x
100=27.028806584362*x       - we divide both sides of the equation by (27.028806584362) to get x
100/27.028806584362=x
3.6997563946407=x
x=3.6997563946407

now we have:
87.48 is 3.6997563946407% of 2364.48