90.87 is what percent of 300 - 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 300 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 300, so we can write it down as 100%=300.
4. We know, that x% equals 90.87 of the output value, so we can write it down as x%=90.87.
5. Now we have two simple equations:
1) 100%=300
2) x%=90.87
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%=300/90.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.87 is what percent of 300

100%/x%=300/90.87
(100/x)*x=(300/90.87)*x       - we multiply both sides of the equation by x
100=3.3014196104325*x       - we divide both sides of the equation by (3.3014196104325) to get x
100/3.3014196104325=x
30.29=x
x=30.29

now we have:
90.87 is 30.29% of 300