What is 1.456 percent of 357.26 - 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 357.26 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 357.26 is 100%, so we can write it down as 357.26=100%.
4. We know, that x is 1.456% of the output value, so we can write it down as x=1.456%.
5. Now we have two simple equations:
1) 357.26=100%
2) x=1.456%
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:
357.26/x=100%/1.456%
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 1.456% of 357.26

357.26/x=100/1.456
(357.26/x)*x=(100/1.456)*x       - we multiply both sides of the equation by x
357.26=68.681318681319*x       - we divide both sides of the equation by (68.681318681319) to get x
357.26/68.681318681319=x
5.2017056=x
x=5.2017056

now we have:
1.456% of 357.26=5.2017056