40.7 is what percent of 236 - 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 236 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 236, so we can write it down as 100%=236.
4. We know, that x% equals 40.7 of the output value, so we can write it down as x%=40.7.
5. Now we have two simple equations:
1) 100%=236
2) x%=40.7
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%=236/40.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.7 is what percent of 236

100%/x%=236/40.7
(100/x)*x=(236/40.7)*x       - we multiply both sides of the equation by x
100=5.7985257985258*x       - we divide both sides of the equation by (5.7985257985258) to get x
100/5.7985257985258=x
17.245762711864=x
x=17.245762711864

now we have:
40.7 is 17.245762711864% of 236