167.98 is what percent of 948 - 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 948 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 948, so we can write it down as 100%=948.
4. We know, that x% equals 167.98 of the output value, so we can write it down as x%=167.98.
5. Now we have two simple equations:
1) 100%=948
2) x%=167.98
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%=948/167.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.98 is what percent of 948

100%/x%=948/167.98
(100/x)*x=(948/167.98)*x       - we multiply both sides of the equation by x
100=5.6435289915466*x       - we divide both sides of the equation by (5.6435289915466) to get x
100/5.6435289915466=x
17.7194092827=x
x=17.7194092827

now we have:
167.98 is 17.7194092827% of 948