1024.3 is what percent of 1652.7 - 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 1652.7 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 1652.7, so we can write it down as 100%=1652.7.
4. We know, that x% equals 1024.3 of the output value, so we can write it down as x%=1024.3.
5. Now we have two simple equations:
1) 100%=1652.7
2) x%=1024.3
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%=1652.7/1024.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1024.3 is what percent of 1652.7

100%/x%=1652.7/1024.3
(100/x)*x=(1652.7/1024.3)*x       - we multiply both sides of the equation by x
100=1.6134921409743*x       - we divide both sides of the equation by (1.6134921409743) to get x
100/1.6134921409743=x
61.977370363647=x
x=61.977370363647

now we have:
1024.3 is 61.977370363647% of 1652.7