What is 56.5 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 56.5% of the output value, so we can write it down as x=56.5%.
5. Now we have two simple equations:
1) 152=100%
2) x=56.5%
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%/56.5%
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 56.5% of 152

152/x=100/56.5
(152/x)*x=(100/56.5)*x       - we multiply both sides of the equation by x
152=1.7699115044248*x       - we divide both sides of the equation by (1.7699115044248) to get x
152/1.7699115044248=x
85.88=x
x=85.88

now we have:
56.5% of 152=85.88