What is 237.5 percent of 64 - 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 64 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 64 is 100%, so we can write it down as 64=100%.
4. We know, that x is 237.5% of the output value, so we can write it down as x=237.5%.
5. Now we have two simple equations:
1) 64=100%
2) x=237.5%
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:
64/x=100%/237.5%
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 237.5% of 64

64/x=100/237.5
(64/x)*x=(100/237.5)*x       - we multiply both sides of the equation by x
64=0.42105263157895*x       - we divide both sides of the equation by (0.42105263157895) to get x
64/0.42105263157895=x
152=x
x=152

now we have:
237.5% of 64=152