84.52 is what percent of 1.572 - 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 1.572 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 1.572, so we can write it down as 100%=1.572.
4. We know, that x% equals 84.52 of the output value, so we can write it down as x%=84.52.
5. Now we have two simple equations:
1) 100%=1.572
2) x%=84.52
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%=1.572/84.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.52 is what percent of 1.572

100%/x%=1.572/84.52
(100/x)*x=(1.572/84.52)*x       - we multiply both sides of the equation by x
100=0.01859914813062*x       - we divide both sides of the equation by (0.01859914813062) to get x
100/0.01859914813062=x
5376.5903307888=x
x=5376.5903307888

now we have:
84.52 is 5376.5903307888% of 1.572