What is 107.6 percent of 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 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 152 is 100%, so we can write it down as 152=100%.
4. We know, that x is 107.6% of the output value, so we can write it down as x=107.6%.
5. Now we have two simple equations:
1) 152=100%
2) x=107.6%
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:
152/x=100%/107.6%
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 107.6% of 152

152/x=100/107.6
(152/x)*x=(100/107.6)*x       - we multiply both sides of the equation by x
152=0.92936802973978*x       - we divide both sides of the equation by (0.92936802973978) to get x
152/0.92936802973978=x
163.552=x
x=163.552

now we have:
107.6% of 152=163.552