0.4 is what percent of 523500 - 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 523500 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 523500, so we can write it down as 100%=523500.
4. We know, that x% equals 0.4 of the output value, so we can write it down as x%=0.4.
5. Now we have two simple equations:
1) 100%=523500
2) x%=0.4
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%=523500/0.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.4 is what percent of 523500

100%/x%=523500/0.4
(100/x)*x=(523500/0.4)*x       - we multiply both sides of the equation by x
100=1308750*x       - we divide both sides of the equation by (1308750) to get x
100/1308750=x
7.6408787010506E-5=x
x=7.6408787010506E-5

now we have:
0.4 is 7.6408787010506E-5% of 523500