27.88 is what percent of 37.88 - 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 37.88 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 37.88, so we can write it down as 100%=37.88.
4. We know, that x% equals 27.88 of the output value, so we can write it down as x%=27.88.
5. Now we have two simple equations:
1) 100%=37.88
2) x%=27.88
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%=37.88/27.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.88 is what percent of 37.88

100%/x%=37.88/27.88
(100/x)*x=(37.88/27.88)*x       - we multiply both sides of the equation by x
100=1.3586800573888*x       - we divide both sides of the equation by (1.3586800573888) to get x
100/1.3586800573888=x
73.600844772967=x
x=73.600844772967

now we have:
27.88 is 73.600844772967% of 37.88