94.5 is what percent of 650 - 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 650 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 650, so we can write it down as 100%=650.
4. We know, that x% equals 94.5 of the output value, so we can write it down as x%=94.5.
5. Now we have two simple equations:
1) 100%=650
2) x%=94.5
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%=650/94.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.5 is what percent of 650

100%/x%=650/94.5
(100/x)*x=(650/94.5)*x       - we multiply both sides of the equation by x
100=6.8783068783069*x       - we divide both sides of the equation by (6.8783068783069) to get x
100/6.8783068783069=x
14.538461538462=x
x=14.538461538462

now we have:
94.5 is 14.538461538462% of 650