402.84 is what percent of 1652.57 - 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 1652.57 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 1652.57, so we can write it down as 100%=1652.57.
4. We know, that x% equals 402.84 of the output value, so we can write it down as x%=402.84.
5. Now we have two simple equations:
1) 100%=1652.57
2) x%=402.84
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%=1652.57/402.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.84 is what percent of 1652.57

100%/x%=1652.57/402.84
(100/x)*x=(1652.57/402.84)*x       - we multiply both sides of the equation by x
100=4.1022986793764*x       - we divide both sides of the equation by (4.1022986793764) to get x
100/4.1022986793764=x
24.376577089019=x
x=24.376577089019

now we have:
402.84 is 24.376577089019% of 1652.57