What is 90.46 percent of 97.5 - 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 97.5 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 97.5 is 100%, so we can write it down as 97.5=100%.
4. We know, that x is 90.46% of the output value, so we can write it down as x=90.46%.
5. Now we have two simple equations:
1) 97.5=100%
2) x=90.46%
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:
97.5/x=100%/90.46%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 90.46% of 97.5

97.5/x=100/90.46
(97.5/x)*x=(100/90.46)*x       - we multiply both sides of the equation by x
97.5=1.1054609772275*x       - we divide both sides of the equation by (1.1054609772275) to get x
97.5/1.1054609772275=x
88.1985=x
x=88.1985

now we have:
90.46% of 97.5=88.1985