What is 7.06 percent of 36.765 - 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 36.765 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 36.765 is 100%, so we can write it down as 36.765=100%.
4. We know, that x is 7.06% of the output value, so we can write it down as x=7.06%.
5. Now we have two simple equations:
1) 36.765=100%
2) x=7.06%
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:
36.765/x=100%/7.06%
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 7.06% of 36.765

36.765/x=100/7.06
(36.765/x)*x=(100/7.06)*x       - we multiply both sides of the equation by x
36.765=14.164305949008*x       - we divide both sides of the equation by (14.164305949008) to get x
36.765/14.164305949008=x
2.595609=x
x=2.595609

now we have:
7.06% of 36.765=2.595609