90.66 is what percent of 104.65 - 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 104.65 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 104.65, so we can write it down as 100%=104.65.
4. We know, that x% equals 90.66 of the output value, so we can write it down as x%=90.66.
5. Now we have two simple equations:
1) 100%=104.65
2) x%=90.66
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%=104.65/90.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.66 is what percent of 104.65

100%/x%=104.65/90.66
(100/x)*x=(104.65/90.66)*x       - we multiply both sides of the equation by x
100=1.1543128171189*x       - we divide both sides of the equation by (1.1543128171189) to get x
100/1.1543128171189=x
86.631629240325=x
x=86.631629240325

now we have:
90.66 is 86.631629240325% of 104.65