35.36 is what percent of 824.4 - 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 824.4 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 824.4, so we can write it down as 100%=824.4.
4. We know, that x% equals 35.36 of the output value, so we can write it down as x%=35.36.
5. Now we have two simple equations:
1) 100%=824.4
2) x%=35.36
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%=824.4/35.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.36 is what percent of 824.4

100%/x%=824.4/35.36
(100/x)*x=(824.4/35.36)*x       - we multiply both sides of the equation by x
100=23.314479638009*x       - we divide both sides of the equation by (23.314479638009) to get x
100/23.314479638009=x
4.289180009704=x
x=4.289180009704

now we have:
35.36 is 4.289180009704% of 824.4