25.02 is what percent of 167 - 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 167 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 167, so we can write it down as 100%=167.
4. We know, that x% equals 25.02 of the output value, so we can write it down as x%=25.02.
5. Now we have two simple equations:
1) 100%=167
2) x%=25.02
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%=167/25.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.02 is what percent of 167

100%/x%=167/25.02
(100/x)*x=(167/25.02)*x       - we multiply both sides of the equation by x
100=6.6746602717826*x       - we divide both sides of the equation by (6.6746602717826) to get x
100/6.6746602717826=x
14.982035928144=x
x=14.982035928144

now we have:
25.02 is 14.982035928144% of 167