8.52 is what percent of 5.1534 - 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 5.1534 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 5.1534, so we can write it down as 100%=5.1534.
4. We know, that x% equals 8.52 of the output value, so we can write it down as x%=8.52.
5. Now we have two simple equations:
1) 100%=5.1534
2) x%=8.52
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%=5.1534/8.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.52 is what percent of 5.1534

100%/x%=5.1534/8.52
(100/x)*x=(5.1534/8.52)*x       - we multiply both sides of the equation by x
100=0.60485915492958*x       - we divide both sides of the equation by (0.60485915492958) to get x
100/0.60485915492958=x
165.32774478985=x
x=165.32774478985

now we have:
8.52 is 165.32774478985% of 5.1534