What is 7.35 percent of 260.7 - 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 260.7 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 260.7 is 100%, so we can write it down as 260.7=100%.
4. We know, that x is 7.35% of the output value, so we can write it down as x=7.35%.
5. Now we have two simple equations:
1) 260.7=100%
2) x=7.35%
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:
260.7/x=100%/7.35%
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 7.35% of 260.7

260.7/x=100/7.35
(260.7/x)*x=(100/7.35)*x       - we multiply both sides of the equation by x
260.7=13.605442176871*x       - we divide both sides of the equation by (13.605442176871) to get x
260.7/13.605442176871=x
19.16145=x
x=19.16145

now we have:
7.35% of 260.7=19.16145