What is 6.45 percent of 235.7 - 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 235.7 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 235.7 is 100%, so we can write it down as 235.7=100%.
4. We know, that x is 6.45% of the output value, so we can write it down as x=6.45%.
5. Now we have two simple equations:
1) 235.7=100%
2) x=6.45%
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:
235.7/x=100%/6.45%
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 6.45% of 235.7

235.7/x=100/6.45
(235.7/x)*x=(100/6.45)*x       - we multiply both sides of the equation by x
235.7=15.503875968992*x       - we divide both sides of the equation by (15.503875968992) to get x
235.7/15.503875968992=x
15.20265=x
x=15.20265

now we have:
6.45% of 235.7=15.20265