What is 1.56 percent of 26.152 - 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 26.152 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 26.152 is 100%, so we can write it down as 26.152=100%.
4. We know, that x is 1.56% of the output value, so we can write it down as x=1.56%.
5. Now we have two simple equations:
1) 26.152=100%
2) x=1.56%
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:
26.152/x=100%/1.56%
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 1.56% of 26.152

26.152/x=100/1.56
(26.152/x)*x=(100/1.56)*x       - we multiply both sides of the equation by x
26.152=64.102564102564*x       - we divide both sides of the equation by (64.102564102564) to get x
26.152/64.102564102564=x
0.4079712=x
x=0.4079712

now we have:
1.56% of 26.152=0.4079712