41.99 is what percent of 37.99 - 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 37.99 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 37.99, so we can write it down as 100%=37.99.
4. We know, that x% equals 41.99 of the output value, so we can write it down as x%=41.99.
5. Now we have two simple equations:
1) 100%=37.99
2) x%=41.99
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%=37.99/41.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.99 is what percent of 37.99

100%/x%=37.99/41.99
(100/x)*x=(37.99/41.99)*x       - we multiply both sides of the equation by x
100=0.90473922362467*x       - we divide both sides of the equation by (0.90473922362467) to get x
100/0.90473922362467=x
110.52908660174=x
x=110.52908660174

now we have:
41.99 is 110.52908660174% of 37.99