What is 107 percent of 83.5 - 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 83.5 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 83.5 is 100%, so we can write it down as 83.5=100%.
4. We know, that x is 107% of the output value, so we can write it down as x=107%.
5. Now we have two simple equations:
1) 83.5=100%
2) x=107%
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:
83.5/x=100%/107%
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 107% of 83.5

83.5/x=100/107
(83.5/x)*x=(100/107)*x       - we multiply both sides of the equation by x
83.5=0.93457943925234*x       - we divide both sides of the equation by (0.93457943925234) to get x
83.5/0.93457943925234=x
89.345=x
x=89.345

now we have:
107% of 83.5=89.345