40.52 is what percent of 836.66 - 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 836.66 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 836.66, so we can write it down as 100%=836.66.
4. We know, that x% equals 40.52 of the output value, so we can write it down as x%=40.52.
5. Now we have two simple equations:
1) 100%=836.66
2) x%=40.52
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%=836.66/40.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.52 is what percent of 836.66

100%/x%=836.66/40.52
(100/x)*x=(836.66/40.52)*x       - we multiply both sides of the equation by x
100=20.648075024679*x       - we divide both sides of the equation by (20.648075024679) to get x
100/20.648075024679=x
4.8430664786174=x
x=4.8430664786174

now we have:
40.52 is 4.8430664786174% of 836.66