53 is what percent of 167.48 - 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 167.48 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 167.48, so we can write it down as 100%=167.48.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=167.48
2) x%=53
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%=167.48/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 167.48

100%/x%=167.48/53
(100/x)*x=(167.48/53)*x       - we multiply both sides of the equation by x
100=3.16*x       - we divide both sides of the equation by (3.16) to get x
100/3.16=x
31.6455696203=x
x=31.6455696203

now we have:
53 is 31.6455696203% of 167.48