What is 83.5 percent of 102 - 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 102 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 102 is 100%, so we can write it down as 102=100%.
4. We know, that x is 83.5% of the output value, so we can write it down as x=83.5%.
5. Now we have two simple equations:
1) 102=100%
2) x=83.5%
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:
102/x=100%/83.5%
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 83.5% of 102

102/x=100/83.5
(102/x)*x=(100/83.5)*x       - we multiply both sides of the equation by x
102=1.1976047904192*x       - we divide both sides of the equation by (1.1976047904192) to get x
102/1.1976047904192=x
85.17=x
x=85.17

now we have:
83.5% of 102=85.17