162.5 is what percent of 4 - 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 4 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 100% equals 4, so we can write it down as 100%=4.
4. We know, that x% equals 162.5 of the output value, so we can write it down as x%=162.5.
5. Now we have two simple equations:
1) 100%=4
2) x%=162.5
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:
100%/x%=4/162.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.5 is what percent of 4

100%/x%=4/162.5
(100/x)*x=(4/162.5)*x       - we multiply both sides of the equation by x
100=0.024615384615385*x       - we divide both sides of the equation by (0.024615384615385) to get x
100/0.024615384615385=x
4062.5=x
x=4062.5

now we have:
162.5 is 4062.5% of 4