What is 340 percent of 83.75 - 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 83.75 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 83.75 is 100%, so we can write it down as 83.75=100%.
4. We know, that x is 340% of the output value, so we can write it down as x=340%.
5. Now we have two simple equations:
1) 83.75=100%
2) x=340%
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:
83.75/x=100%/340%
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 340% of 83.75

83.75/x=100/340
(83.75/x)*x=(100/340)*x       - we multiply both sides of the equation by x
83.75=0.29411764705882*x       - we divide both sides of the equation by (0.29411764705882) to get x
83.75/0.29411764705882=x
284.75=x
x=284.75

now we have:
340% of 83.75=284.75