What is 7.57 percent of 1.56 - 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 1.56 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 1.56 is 100%, so we can write it down as 1.56=100%.
4. We know, that x is 7.57% of the output value, so we can write it down as x=7.57%.
5. Now we have two simple equations:
1) 1.56=100%
2) x=7.57%
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:
1.56/x=100%/7.57%
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 7.57% of 1.56

1.56/x=100/7.57
(1.56/x)*x=(100/7.57)*x       - we multiply both sides of the equation by x
1.56=13.210039630119*x       - we divide both sides of the equation by (13.210039630119) to get x
1.56/13.210039630119=x
0.118092=x
x=0.118092

now we have:
7.57% of 1.56=0.118092