What is 0.635 percent of 0.735 - 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 0.735 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 0.735 is 100%, so we can write it down as 0.735=100%.
4. We know, that x is 0.635% of the output value, so we can write it down as x=0.635%.
5. Now we have two simple equations:
1) 0.735=100%
2) x=0.635%
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:
0.735/x=100%/0.635%
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 0.635% of 0.735

0.735/x=100/0.635
(0.735/x)*x=(100/0.635)*x       - we multiply both sides of the equation by x
0.735=157.48031496063*x       - we divide both sides of the equation by (157.48031496063) to get x
0.735/157.48031496063=x
0.00466725=x
x=0.00466725

now we have:
0.635% of 0.735=0.00466725