95.23 is what percent of 167.88 - 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 167.88 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 167.88, so we can write it down as 100%=167.88.
4. We know, that x% equals 95.23 of the output value, so we can write it down as x%=95.23.
5. Now we have two simple equations:
1) 100%=167.88
2) x%=95.23
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%=167.88/95.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.23 is what percent of 167.88

100%/x%=167.88/95.23
(100/x)*x=(167.88/95.23)*x       - we multiply both sides of the equation by x
100=1.7628898456369*x       - we divide both sides of the equation by (1.7628898456369) to get x
100/1.7628898456369=x
56.72504169645=x
x=56.72504169645

now we have:
95.23 is 56.72504169645% of 167.88