70.05 is what percent of 159.434 - 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 159.434 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 159.434, so we can write it down as 100%=159.434.
4. We know, that x% equals 70.05 of the output value, so we can write it down as x%=70.05.
5. Now we have two simple equations:
1) 100%=159.434
2) x%=70.05
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%=159.434/70.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70.05 is what percent of 159.434

100%/x%=159.434/70.05
(100/x)*x=(159.434/70.05)*x       - we multiply both sides of the equation by x
100=2.2760028551035*x       - we divide both sides of the equation by (2.2760028551035) to get x
100/2.2760028551035=x
43.936675991319=x
x=43.936675991319

now we have:
70.05 is 43.936675991319% of 159.434