87.46 is what percent of 254.08 - 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 254.08 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 254.08, so we can write it down as 100%=254.08.
4. We know, that x% equals 87.46 of the output value, so we can write it down as x%=87.46.
5. Now we have two simple equations:
1) 100%=254.08
2) x%=87.46
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%=254.08/87.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.46 is what percent of 254.08

100%/x%=254.08/87.46
(100/x)*x=(254.08/87.46)*x       - we multiply both sides of the equation by x
100=2.9050994740453*x       - we divide both sides of the equation by (2.9050994740453) to get x
100/2.9050994740453=x
34.422229219144=x
x=34.422229219144

now we have:
87.46 is 34.422229219144% of 254.08